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Finding the Fourth Proportional to 5,638.66, 8,457.79 and 1,478.64

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Solution

The fourth proportional to 5,638.66, 8,457.79 and 1,478.64 is: 2,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.66 : 8,457.79 = 1,478.64 : x
  2. Step 2: Convert to fraction form
    5,638.66/8,457.79 = 1,478.64/x
  3. Step 3: Cross multiply
    5,638.66x = 8,457.79 × 1,478.64
  4. Step 4: Simplify right side
    5,638.66x = 12,506,026.61
  5. Step 5: Solve for x
    x = 12,506,026.61/5,638.66
  6. Step 6: Final answer
    x = 2,217.91

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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.