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Finding the Fourth Proportional to 27,431.46, 41,154.48 and 8,712

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Solution

The fourth proportional to 27,431.46, 41,154.48 and 8,712 is: 13,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.46 : 41,154.48 = 8,712 : x
  2. Step 2: Convert to fraction form
    27,431.46/41,154.48 = 8,712/x
  3. Step 3: Cross multiply
    27,431.46x = 41,154.48 × 8,712
  4. Step 4: Simplify right side
    27,431.46x = 358,537,829.76
  5. Step 5: Solve for x
    x = 358,537,829.76/27,431.46
  6. Step 6: Final answer
    x = 13,070.32

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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.