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Finding the Fourth Proportional to 13,503.71, 18,635.87 and 7,535.43

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Solution

The fourth proportional to 13,503.71, 18,635.87 and 7,535.43 is: 10,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.71 : 18,635.87 = 7,535.43 : x
  2. Step 2: Convert to fraction form
    13,503.71/18,635.87 = 7,535.43/x
  3. Step 3: Cross multiply
    13,503.71x = 18,635.87 × 7,535.43
  4. Step 4: Simplify right side
    13,503.71x = 140,429,312.71
  5. Step 5: Solve for x
    x = 140,429,312.71/13,503.71
  6. Step 6: Final answer
    x = 10,399.31

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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.