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Finding the Fourth Proportional to 28,987, 40,002.06 and 15,739

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Solution

The fourth proportional to 28,987, 40,002.06 and 15,739 is: 21,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,987 : 40,002.06 = 15,739 : x
  2. Step 2: Convert to fraction form
    28,987/40,002.06 = 15,739/x
  3. Step 3: Cross multiply
    28,987x = 40,002.06 × 15,739
  4. Step 4: Simplify right side
    28,987x = 629,592,422.34
  5. Step 5: Solve for x
    x = 629,592,422.34/28,987
  6. Step 6: Final answer
    x = 21,719.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.