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Finding the Fourth Proportional to 6,659.57, 9,985.80 and 1,978.92

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Solution

The fourth proportional to 6,659.57, 9,985.80 and 1,978.92 is: 2,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.57 : 9,985.80 = 1,978.92 : x
  2. Step 2: Convert to fraction form
    6,659.57/9,985.80 = 1,978.92/x
  3. Step 3: Cross multiply
    6,659.57x = 9,985.80 × 1,978.92
  4. Step 4: Simplify right side
    6,659.57x = 19,761,099.34
  5. Step 5: Solve for x
    x = 19,761,099.34/6,659.57
  6. Step 6: Final answer
    x = 2,967.32

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1.5x scale

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.