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Finding the Fourth Proportional to 21,658, 32,428.59 and 14,142.94

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Solution

The fourth proportional to 21,658, 32,428.59 and 14,142.94 is: 21,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658 : 32,428.59 = 14,142.94 : x
  2. Step 2: Convert to fraction form
    21,658/32,428.59 = 14,142.94/x
  3. Step 3: Cross multiply
    21,658x = 32,428.59 × 14,142.94
  4. Step 4: Simplify right side
    21,658x = 458,635,602.65
  5. Step 5: Solve for x
    x = 458,635,602.65/21,658
  6. Step 6: Final answer
    x = 21,176.27

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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.