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Finding the Fourth Proportional to 9,907.11, 13,672.40 and 8,332.47

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Solution

The fourth proportional to 9,907.11, 13,672.40 and 8,332.47 is: 11,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.11 : 13,672.40 = 8,332.47 : x
  2. Step 2: Convert to fraction form
    9,907.11/13,672.40 = 8,332.47/x
  3. Step 3: Cross multiply
    9,907.11x = 13,672.40 × 8,332.47
  4. Step 4: Simplify right side
    9,907.11x = 113,924,821.17
  5. Step 5: Solve for x
    x = 113,924,821.17/9,907.11
  6. Step 6: Final answer
    x = 11,499.30

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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.