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Finding the Fourth Proportional to 10,512.12, 15,746.63 and 8,420.79

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Solution

The fourth proportional to 10,512.12, 15,746.63 and 8,420.79 is: 12,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.12 : 15,746.63 = 8,420.79 : x
  2. Step 2: Convert to fraction form
    10,512.12/15,746.63 = 8,420.79/x
  3. Step 3: Cross multiply
    10,512.12x = 15,746.63 × 8,420.79
  4. Step 4: Simplify right side
    10,512.12x = 132,599,022.33
  5. Step 5: Solve for x
    x = 132,599,022.33/10,512.12
  6. Step 6: Final answer
    x = 12,613.92

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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.