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Finding the Fourth Proportional to 11,377.68, 15,702 and 6,342.24

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Solution

The fourth proportional to 11,377.68, 15,702 and 6,342.24 is: 8,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.68 : 15,702 = 6,342.24 : x
  2. Step 2: Convert to fraction form
    11,377.68/15,702 = 6,342.24/x
  3. Step 3: Cross multiply
    11,377.68x = 15,702 × 6,342.24
  4. Step 4: Simplify right side
    11,377.68x = 99,585,852.48
  5. Step 5: Solve for x
    x = 99,585,852.48/11,377.68
  6. Step 6: Final answer
    x = 8,752.74

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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.