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Finding the Fourth Proportional to 8,613, 12,921.66 and 2,457

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Solution

The fourth proportional to 8,613, 12,921.66 and 2,457 is: 3,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613 : 12,921.66 = 2,457 : x
  2. Step 2: Convert to fraction form
    8,613/12,921.66 = 2,457/x
  3. Step 3: Cross multiply
    8,613x = 12,921.66 × 2,457
  4. Step 4: Simplify right side
    8,613x = 31,748,518.62
  5. Step 5: Solve for x
    x = 31,748,518.62/8,613
  6. Step 6: Final answer
    x = 3,686.12

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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.