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Finding the Fourth Proportional to 13,283.84, 18,337.92 and 7,693.76

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Solution

The fourth proportional to 13,283.84, 18,337.92 and 7,693.76 is: 10,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.84 : 18,337.92 = 7,693.76 : x
  2. Step 2: Convert to fraction form
    13,283.84/18,337.92 = 7,693.76/x
  3. Step 3: Cross multiply
    13,283.84x = 18,337.92 × 7,693.76
  4. Step 4: Simplify right side
    13,283.84x = 141,087,555.38
  5. Step 5: Solve for x
    x = 141,087,555.38/13,283.84
  6. Step 6: Final answer
    x = 10,620.99

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.