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Finding the Fourth Proportional to 7,002.40, 10,508.40 and 3,109.60

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Solution

The fourth proportional to 7,002.40, 10,508.40 and 3,109.60 is: 4,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.40 : 10,508.40 = 3,109.60 : x
  2. Step 2: Convert to fraction form
    7,002.40/10,508.40 = 3,109.60/x
  3. Step 3: Cross multiply
    7,002.40x = 10,508.40 × 3,109.60
  4. Step 4: Simplify right side
    7,002.40x = 32,676,920.64
  5. Step 5: Solve for x
    x = 32,676,920.64/7,002.40
  6. Step 6: Final answer
    x = 4,666.53

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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.