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Finding the Fourth Proportional to 21,985.90, 32,978.55 and 5,345.88

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Solution

The fourth proportional to 21,985.90, 32,978.55 and 5,345.88 is: 8,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.90 : 32,978.55 = 5,345.88 : x
  2. Step 2: Convert to fraction form
    21,985.90/32,978.55 = 5,345.88/x
  3. Step 3: Cross multiply
    21,985.90x = 32,978.55 × 5,345.88
  4. Step 4: Simplify right side
    21,985.90x = 176,299,370.87
  5. Step 5: Solve for x
    x = 176,299,370.87/21,985.90
  6. Step 6: Final answer
    x = 8,018.75

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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.