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Finding the Fourth Proportional to 9,445.12, 14,145.76 and 9,117.12

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Solution

The fourth proportional to 9,445.12, 14,145.76 and 9,117.12 is: 13,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.12 : 14,145.76 = 9,117.12 : x
  2. Step 2: Convert to fraction form
    9,445.12/14,145.76 = 9,117.12/x
  3. Step 3: Cross multiply
    9,445.12x = 14,145.76 × 9,117.12
  4. Step 4: Simplify right side
    9,445.12x = 128,968,591.41
  5. Step 5: Solve for x
    x = 128,968,591.41/9,445.12
  6. Step 6: Final answer
    x = 13,654.52

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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.