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Finding the Fourth Proportional to 8,978.70, 12,390.96 and 5,202

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Solution

The fourth proportional to 8,978.70, 12,390.96 and 5,202 is: 7,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.70 : 12,390.96 = 5,202 : x
  2. Step 2: Convert to fraction form
    8,978.70/12,390.96 = 5,202/x
  3. Step 3: Cross multiply
    8,978.70x = 12,390.96 × 5,202
  4. Step 4: Simplify right side
    8,978.70x = 64,457,773.92
  5. Step 5: Solve for x
    x = 64,457,773.92/8,978.70
  6. Step 6: Final answer
    x = 7,178.97

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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.