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Finding the Fourth Proportional to 10,702.64, 14,775.36 and 9,859.52

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Solution

The fourth proportional to 10,702.64, 14,775.36 and 9,859.52 is: 13,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.64 : 14,775.36 = 9,859.52 : x
  2. Step 2: Convert to fraction form
    10,702.64/14,775.36 = 9,859.52/x
  3. Step 3: Cross multiply
    10,702.64x = 14,775.36 × 9,859.52
  4. Step 4: Simplify right side
    10,702.64x = 145,677,957.43
  5. Step 5: Solve for x
    x = 145,677,957.43/10,702.64
  6. Step 6: Final answer
    x = 13,611.40

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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.