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Finding the Fourth Proportional to 4,672.32, 7,009.84 and 1,385.49

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Solution

The fourth proportional to 4,672.32, 7,009.84 and 1,385.49 is: 2,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.32 : 7,009.84 = 1,385.49 : x
  2. Step 2: Convert to fraction form
    4,672.32/7,009.84 = 1,385.49/x
  3. Step 3: Cross multiply
    4,672.32x = 7,009.84 × 1,385.49
  4. Step 4: Simplify right side
    4,672.32x = 9,712,086.04
  5. Step 5: Solve for x
    x = 9,712,086.04/4,672.32
  6. Step 6: Final answer
    x = 2,078.64

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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.