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Finding the Fourth Proportional to 6,478.70, 9,718.68 and 2,582.18

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Solution

The fourth proportional to 6,478.70, 9,718.68 and 2,582.18 is: 3,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.70 : 9,718.68 = 2,582.18 : x
  2. Step 2: Convert to fraction form
    6,478.70/9,718.68 = 2,582.18/x
  3. Step 3: Cross multiply
    6,478.70x = 9,718.68 × 2,582.18
  4. Step 4: Simplify right side
    6,478.70x = 25,095,381.12
  5. Step 5: Solve for x
    x = 25,095,381.12/6,478.70
  6. Step 6: Final answer
    x = 3,873.52

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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.