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Finding the Fourth Proportional to 7,316.80, 10,988.40 and 6,409.60

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Solution

The fourth proportional to 7,316.80, 10,988.40 and 6,409.60 is: 9,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.80 : 10,988.40 = 6,409.60 : x
  2. Step 2: Convert to fraction form
    7,316.80/10,988.40 = 6,409.60/x
  3. Step 3: Cross multiply
    7,316.80x = 10,988.40 × 6,409.60
  4. Step 4: Simplify right side
    7,316.80x = 70,431,248.64
  5. Step 5: Solve for x
    x = 70,431,248.64/7,316.80
  6. Step 6: Final answer
    x = 9,625.96

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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.