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Finding the Fourth Proportional to 8,354.64, 12,534.12 and 4,458

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Solution

The fourth proportional to 8,354.64, 12,534.12 and 4,458 is: 6,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.64 : 12,534.12 = 4,458 : x
  2. Step 2: Convert to fraction form
    8,354.64/12,534.12 = 4,458/x
  3. Step 3: Cross multiply
    8,354.64x = 12,534.12 × 4,458
  4. Step 4: Simplify right side
    8,354.64x = 55,877,106.96
  5. Step 5: Solve for x
    x = 55,877,106.96/8,354.64
  6. Step 6: Final answer
    x = 6,688.15

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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.