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Finding the Fourth Proportional to 6,647.60, 9,985.80 and 6,402.80

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Solution

The fourth proportional to 6,647.60, 9,985.80 and 6,402.80 is: 9,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.60 : 9,985.80 = 6,402.80 : x
  2. Step 2: Convert to fraction form
    6,647.60/9,985.80 = 6,402.80/x
  3. Step 3: Cross multiply
    6,647.60x = 9,985.80 × 6,402.80
  4. Step 4: Simplify right side
    6,647.60x = 63,937,080.24
  5. Step 5: Solve for x
    x = 63,937,080.24/6,647.60
  6. Step 6: Final answer
    x = 9,618.07

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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.