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Finding the Fourth Proportional to 2,909.76, 4,019.40 and 2,324.40

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Solution

The fourth proportional to 2,909.76, 4,019.40 and 2,324.40 is: 3,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.76 : 4,019.40 = 2,324.40 : x
  2. Step 2: Convert to fraction form
    2,909.76/4,019.40 = 2,324.40/x
  3. Step 3: Cross multiply
    2,909.76x = 4,019.40 × 2,324.40
  4. Step 4: Simplify right side
    2,909.76x = 9,342,693.36
  5. Step 5: Solve for x
    x = 9,342,693.36/2,909.76
  6. Step 6: Final answer
    x = 3,210.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.