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Finding the Fourth Proportional to 29,136, 40,208.16 and 15,888

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Solution

The fourth proportional to 29,136, 40,208.16 and 15,888 is: 21,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,136 : 40,208.16 = 15,888 : x
  2. Step 2: Convert to fraction form
    29,136/40,208.16 = 15,888/x
  3. Step 3: Cross multiply
    29,136x = 40,208.16 × 15,888
  4. Step 4: Simplify right side
    29,136x = 638,827,246.08
  5. Step 5: Solve for x
    x = 638,827,246.08/29,136
  6. Step 6: Final answer
    x = 21,925.70

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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.