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Finding the Fourth Proportional to 13,285.71, 19,913.04 and 9,988.20

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Solution

The fourth proportional to 13,285.71, 19,913.04 and 9,988.20 is: 14,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285.71 : 19,913.04 = 9,988.20 : x
  2. Step 2: Convert to fraction form
    13,285.71/19,913.04 = 9,988.20/x
  3. Step 3: Cross multiply
    13,285.71x = 19,913.04 × 9,988.20
  4. Step 4: Simplify right side
    13,285.71x = 198,895,426.13
  5. Step 5: Solve for x
    x = 198,895,426.13/13,285.71
  6. Step 6: Final answer
    x = 14,970.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.