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Finding the Fourth Proportional to 11,312.87, 15,610.93 and 6,531.17

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Solution

The fourth proportional to 11,312.87, 15,610.93 and 6,531.17 is: 9,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.87 : 15,610.93 = 6,531.17 : x
  2. Step 2: Convert to fraction form
    11,312.87/15,610.93 = 6,531.17/x
  3. Step 3: Cross multiply
    11,312.87x = 15,610.93 × 6,531.17
  4. Step 4: Simplify right side
    11,312.87x = 101,957,543.31
  5. Step 5: Solve for x
    x = 101,957,543.31/11,312.87
  6. Step 6: Final answer
    x = 9,012.53

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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.