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Finding the Fourth Proportional to 28,005, 42,014.04 and 9,537

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Solution

The fourth proportional to 28,005, 42,014.04 and 9,537 is: 14,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005 : 42,014.04 = 9,537 : x
  2. Step 2: Convert to fraction form
    28,005/42,014.04 = 9,537/x
  3. Step 3: Cross multiply
    28,005x = 42,014.04 × 9,537
  4. Step 4: Simplify right side
    28,005x = 400,687,899.48
  5. Step 5: Solve for x
    x = 400,687,899.48/28,005
  6. Step 6: Final answer
    x = 14,307.73

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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.