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Finding the Fourth Proportional to 8,978.64, 12,390.74 and 5,201.81

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Solution

The fourth proportional to 8,978.64, 12,390.74 and 5,201.81 is: 7,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.64 : 12,390.74 = 5,201.81 : x
  2. Step 2: Convert to fraction form
    8,978.64/12,390.74 = 5,201.81/x
  3. Step 3: Cross multiply
    8,978.64x = 12,390.74 × 5,201.81
  4. Step 4: Simplify right side
    8,978.64x = 64,454,275.24
  5. Step 5: Solve for x
    x = 64,454,275.24/8,978.64
  6. Step 6: Final answer
    x = 7,178.62

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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.