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Finding the Fourth Proportional to 6,159.60, 9,190.50 and 5,187.60

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Solution

The fourth proportional to 6,159.60, 9,190.50 and 5,187.60 is: 7,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.60 : 9,190.50 = 5,187.60 : x
  2. Step 2: Convert to fraction form
    6,159.60/9,190.50 = 5,187.60/x
  3. Step 3: Cross multiply
    6,159.60x = 9,190.50 × 5,187.60
  4. Step 4: Simplify right side
    6,159.60x = 47,676,637.80
  5. Step 5: Solve for x
    x = 47,676,637.80/6,159.60
  6. Step 6: Final answer
    x = 7,740.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.