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Finding the Fourth Proportional to 8,378.64, 11,562.07 and 4,602.30

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Solution

The fourth proportional to 8,378.64, 11,562.07 and 4,602.30 is: 6,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.64 : 11,562.07 = 4,602.30 : x
  2. Step 2: Convert to fraction form
    8,378.64/11,562.07 = 4,602.30/x
  3. Step 3: Cross multiply
    8,378.64x = 11,562.07 × 4,602.30
  4. Step 4: Simplify right side
    8,378.64x = 53,212,091.75
  5. Step 5: Solve for x
    x = 53,212,091.75/8,378.64
  6. Step 6: Final answer
    x = 6,350.92

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1.5x scale

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.