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Finding the Fourth Proportional to 28,020, 42,032.04 and 8,029.20

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Solution

The fourth proportional to 28,020, 42,032.04 and 8,029.20 is: 12,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,020 : 42,032.04 = 8,029.20 : x
  2. Step 2: Convert to fraction form
    28,020/42,032.04 = 8,029.20/x
  3. Step 3: Cross multiply
    28,020x = 42,032.04 × 8,029.20
  4. Step 4: Simplify right side
    28,020x = 337,483,655.57
  5. Step 5: Solve for x
    x = 337,483,655.57/28,020
  6. Step 6: Final answer
    x = 12,044.38

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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.