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Finding the Fourth Proportional to 29,136, 43,700.28 and 9,412.50

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Solution

The fourth proportional to 29,136, 43,700.28 and 9,412.50 is: 14,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,136 : 43,700.28 = 9,412.50 : x
  2. Step 2: Convert to fraction form
    29,136/43,700.28 = 9,412.50/x
  3. Step 3: Cross multiply
    29,136x = 43,700.28 × 9,412.50
  4. Step 4: Simplify right side
    29,136x = 411,328,885.50
  5. Step 5: Solve for x
    x = 411,328,885.50/29,136
  6. Step 6: Final answer
    x = 14,117.55

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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.