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Finding the Fourth Proportional to 2,867.40, 4,349.70 and 2,867.40

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Solution

The fourth proportional to 2,867.40, 4,349.70 and 2,867.40 is: 4,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.40 : 4,349.70 = 2,867.40 : x
  2. Step 2: Convert to fraction form
    2,867.40/4,349.70 = 2,867.40/x
  3. Step 3: Cross multiply
    2,867.40x = 4,349.70 × 2,867.40
  4. Step 4: Simplify right side
    2,867.40x = 12,472,329.78
  5. Step 5: Solve for x
    x = 12,472,329.78/2,867.40
  6. Step 6: Final answer
    x = 4,349.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.