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Finding the Fourth Proportional to 9,117.25, 13,681.25 and 3,851.92

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Solution

The fourth proportional to 9,117.25, 13,681.25 and 3,851.92 is: 5,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.25 : 13,681.25 = 3,851.92 : x
  2. Step 2: Convert to fraction form
    9,117.25/13,681.25 = 3,851.92/x
  3. Step 3: Cross multiply
    9,117.25x = 13,681.25 × 3,851.92
  4. Step 4: Simplify right side
    9,117.25x = 52,699,080.50
  5. Step 5: Solve for x
    x = 52,699,080.50/9,117.25
  6. Step 6: Final answer
    x = 5,780.15

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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.