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Finding the Fourth Proportional to 13,210, 18,229.80 and 7,905.58

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Solution

The fourth proportional to 13,210, 18,229.80 and 7,905.58 is: 10,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210 : 18,229.80 = 7,905.58 : x
  2. Step 2: Convert to fraction form
    13,210/18,229.80 = 7,905.58/x
  3. Step 3: Cross multiply
    13,210x = 18,229.80 × 7,905.58
  4. Step 4: Simplify right side
    13,210x = 144,117,142.28
  5. Step 5: Solve for x
    x = 144,117,142.28/13,210
  6. Step 6: Final answer
    x = 10,909.70

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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.