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Finding the Fourth Proportional to 14,280, 21,432.99 and 7,264.74

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Solution

The fourth proportional to 14,280, 21,432.99 and 7,264.74 is: 10,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280 : 21,432.99 = 7,264.74 : x
  2. Step 2: Convert to fraction form
    14,280/21,432.99 = 7,264.74/x
  3. Step 3: Cross multiply
    14,280x = 21,432.99 × 7,264.74
  4. Step 4: Simplify right side
    14,280x = 155,705,099.77
  5. Step 5: Solve for x
    x = 155,705,099.77/14,280
  6. Step 6: Final answer
    x = 10,903.72

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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.