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Finding the Fourth Proportional to 10,417.92, 15,621.48 and 8,220.48

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Solution

The fourth proportional to 10,417.92, 15,621.48 and 8,220.48 is: 12,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.92 : 15,621.48 = 8,220.48 : x
  2. Step 2: Convert to fraction form
    10,417.92/15,621.48 = 8,220.48/x
  3. Step 3: Cross multiply
    10,417.92x = 15,621.48 × 8,220.48
  4. Step 4: Simplify right side
    10,417.92x = 128,416,063.91
  5. Step 5: Solve for x
    x = 128,416,063.91/10,417.92
  6. Step 6: Final answer
    x = 12,326.46

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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.