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Finding the Fourth Proportional to 13,658.76, 20,445.12 and 9,417.20

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Solution

The fourth proportional to 13,658.76, 20,445.12 and 9,417.20 is: 14,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.76 : 20,445.12 = 9,417.20 : x
  2. Step 2: Convert to fraction form
    13,658.76/20,445.12 = 9,417.20/x
  3. Step 3: Cross multiply
    13,658.76x = 20,445.12 × 9,417.20
  4. Step 4: Simplify right side
    13,658.76x = 192,535,784.06
  5. Step 5: Solve for x
    x = 192,535,784.06/13,658.76
  6. Step 6: Final answer
    x = 14,096.14

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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.