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Finding the Fourth Proportional to 6,398.88, 9,582.84 and 5,295.12

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Solution

The fourth proportional to 6,398.88, 9,582.84 and 5,295.12 is: 7,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.88 : 9,582.84 = 5,295.12 : x
  2. Step 2: Convert to fraction form
    6,398.88/9,582.84 = 5,295.12/x
  3. Step 3: Cross multiply
    6,398.88x = 9,582.84 × 5,295.12
  4. Step 4: Simplify right side
    6,398.88x = 50,742,287.74
  5. Step 5: Solve for x
    x = 50,742,287.74/6,398.88
  6. Step 6: Final answer
    x = 7,929.87

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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.