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Finding the Fourth Proportional to 27,151.82, 40,734.10 and 8,430.89

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Solution

The fourth proportional to 27,151.82, 40,734.10 and 8,430.89 is: 12,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.82 : 40,734.10 = 8,430.89 : x
  2. Step 2: Convert to fraction form
    27,151.82/40,734.10 = 8,430.89/x
  3. Step 3: Cross multiply
    27,151.82x = 40,734.10 × 8,430.89
  4. Step 4: Simplify right side
    27,151.82x = 343,424,491.60
  5. Step 5: Solve for x
    x = 343,424,491.60/27,151.82
  6. Step 6: Final answer
    x = 12,648.31

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1.5x scale

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.