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Finding the Fourth Proportional to 14,472.96, 19,948.80 and 9,989.12

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Solution

The fourth proportional to 14,472.96, 19,948.80 and 9,989.12 is: 13,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.96 : 19,948.80 = 9,989.12 : x
  2. Step 2: Convert to fraction form
    14,472.96/19,948.80 = 9,989.12/x
  3. Step 3: Cross multiply
    14,472.96x = 19,948.80 × 9,989.12
  4. Step 4: Simplify right side
    14,472.96x = 199,270,957.06
  5. Step 5: Solve for x
    x = 199,270,957.06/14,472.96
  6. Step 6: Final answer
    x = 13,768.50

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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.