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Finding the Fourth Proportional to 2,962.80, 4,442.92 and 909.68

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Solution

The fourth proportional to 2,962.80, 4,442.92 and 909.68 is: 1,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.80 : 4,442.92 = 909.68 : x
  2. Step 2: Convert to fraction form
    2,962.80/4,442.92 = 909.68/x
  3. Step 3: Cross multiply
    2,962.80x = 4,442.92 × 909.68
  4. Step 4: Simplify right side
    2,962.80x = 4,041,635.47
  5. Step 5: Solve for x
    x = 4,041,635.47/2,962.80
  6. Step 6: Final answer
    x = 1,364.13

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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.