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Finding the Fourth Proportional to 13,013.84, 17,958.84 and 7,045.50

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Solution

The fourth proportional to 13,013.84, 17,958.84 and 7,045.50 is: 9,722.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.84 : 17,958.84 = 7,045.50 : x
  2. Step 2: Convert to fraction form
    13,013.84/17,958.84 = 7,045.50/x
  3. Step 3: Cross multiply
    13,013.84x = 17,958.84 × 7,045.50
  4. Step 4: Simplify right side
    13,013.84x = 126,529,007.22
  5. Step 5: Solve for x
    x = 126,529,007.22/13,013.84
  6. Step 6: Final answer
    x = 9,722.65

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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.