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Finding the Fourth Proportional to 8,457, 12,691.26 and 2,985

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Solution

The fourth proportional to 8,457, 12,691.26 and 2,985 is: 4,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457 : 12,691.26 = 2,985 : x
  2. Step 2: Convert to fraction form
    8,457/12,691.26 = 2,985/x
  3. Step 3: Cross multiply
    8,457x = 12,691.26 × 2,985
  4. Step 4: Simplify right side
    8,457x = 37,883,411.10
  5. Step 5: Solve for x
    x = 37,883,411.10/8,457
  6. Step 6: Final answer
    x = 4,479.53

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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.