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Finding the Fourth Proportional to 11,378.88, 15,702.05 and 6,342.87

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Solution

The fourth proportional to 11,378.88, 15,702.05 and 6,342.87 is: 8,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.88 : 15,702.05 = 6,342.87 : x
  2. Step 2: Convert to fraction form
    11,378.88/15,702.05 = 6,342.87/x
  3. Step 3: Cross multiply
    11,378.88x = 15,702.05 × 6,342.87
  4. Step 4: Simplify right side
    11,378.88x = 99,596,136.62
  5. Step 5: Solve for x
    x = 99,596,136.62/11,378.88
  6. Step 6: Final answer
    x = 8,752.72

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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.