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Finding the Fourth Proportional to 28,006.72, 42,000.32 and 8,280

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Solution

The fourth proportional to 28,006.72, 42,000.32 and 8,280 is: 12,417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.72 : 42,000.32 = 8,280 : x
  2. Step 2: Convert to fraction form
    28,006.72/42,000.32 = 8,280/x
  3. Step 3: Cross multiply
    28,006.72x = 42,000.32 × 8,280
  4. Step 4: Simplify right side
    28,006.72x = 347,762,649.60
  5. Step 5: Solve for x
    x = 347,762,649.60/28,006.72
  6. Step 6: Final answer
    x = 12,417.11

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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.