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Finding the Fourth Proportional to 2,939.64, 4,053.02 and 2,152.32

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Solution

The fourth proportional to 2,939.64, 4,053.02 and 2,152.32 is: 2,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.64 : 4,053.02 = 2,152.32 : x
  2. Step 2: Convert to fraction form
    2,939.64/4,053.02 = 2,152.32/x
  3. Step 3: Cross multiply
    2,939.64x = 4,053.02 × 2,152.32
  4. Step 4: Simplify right side
    2,939.64x = 8,723,385.24
  5. Step 5: Solve for x
    x = 8,723,385.24/2,939.64
  6. Step 6: Final answer
    x = 2,967.50

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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.