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Finding the Fourth Proportional to 8,484.32, 12,734.58 and 5,203.82

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Solution

The fourth proportional to 8,484.32, 12,734.58 and 5,203.82 is: 7,810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.32 : 12,734.58 = 5,203.82 : x
  2. Step 2: Convert to fraction form
    8,484.32/12,734.58 = 5,203.82/x
  3. Step 3: Cross multiply
    8,484.32x = 12,734.58 × 5,203.82
  4. Step 4: Simplify right side
    8,484.32x = 66,268,462.10
  5. Step 5: Solve for x
    x = 66,268,462.10/8,484.32
  6. Step 6: Final answer
    x = 7,810.70

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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.