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Finding the Fourth Proportional to 11,531.95, 15,907.87 and 7,710.17

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Solution

The fourth proportional to 11,531.95, 15,907.87 and 7,710.17 is: 10,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.95 : 15,907.87 = 7,710.17 : x
  2. Step 2: Convert to fraction form
    11,531.95/15,907.87 = 7,710.17/x
  3. Step 3: Cross multiply
    11,531.95x = 15,907.87 × 7,710.17
  4. Step 4: Simplify right side
    11,531.95x = 122,652,382.04
  5. Step 5: Solve for x
    x = 122,652,382.04/11,531.95
  6. Step 6: Final answer
    x = 10,635.88

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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.