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Finding the Fourth Proportional to 7,002.68, 9,650.40 and 5,009.78

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Solution

The fourth proportional to 7,002.68, 9,650.40 and 5,009.78 is: 6,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.68 : 9,650.40 = 5,009.78 : x
  2. Step 2: Convert to fraction form
    7,002.68/9,650.40 = 5,009.78/x
  3. Step 3: Cross multiply
    7,002.68x = 9,650.40 × 5,009.78
  4. Step 4: Simplify right side
    7,002.68x = 48,346,368.85
  5. Step 5: Solve for x
    x = 48,346,368.85/7,002.68
  6. Step 6: Final answer
    x = 6,903.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.