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Finding the Fourth Proportional to 23,136, 34,702.08 and 9,988.32

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Solution

The fourth proportional to 23,136, 34,702.08 and 9,988.32 is: 14,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 34,702.08 = 9,988.32 : x
  2. Step 2: Convert to fraction form
    23,136/34,702.08 = 9,988.32/x
  3. Step 3: Cross multiply
    23,136x = 34,702.08 × 9,988.32
  4. Step 4: Simplify right side
    23,136x = 346,615,479.71
  5. Step 5: Solve for x
    x = 346,615,479.71/23,136
  6. Step 6: Final answer
    x = 14,981.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.