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Finding the Fourth Proportional to 21,985.98, 32,978.48 and 5,346.08

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Solution

The fourth proportional to 21,985.98, 32,978.48 and 5,346.08 is: 8,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,985.98 : 32,978.48 = 5,346.08 : x
  2. Step 2: Convert to fraction form
    21,985.98/32,978.48 = 5,346.08/x
  3. Step 3: Cross multiply
    21,985.98x = 32,978.48 × 5,346.08
  4. Step 4: Simplify right side
    21,985.98x = 176,305,592.36
  5. Step 5: Solve for x
    x = 176,305,592.36/21,985.98
  6. Step 6: Final answer
    x = 8,019.00

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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.