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Finding the Fourth Proportional to 2,902.72, 4,005.64 and 1,723.76

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Solution

The fourth proportional to 2,902.72, 4,005.64 and 1,723.76 is: 2,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.72 : 4,005.64 = 1,723.76 : x
  2. Step 2: Convert to fraction form
    2,902.72/4,005.64 = 1,723.76/x
  3. Step 3: Cross multiply
    2,902.72x = 4,005.64 × 1,723.76
  4. Step 4: Simplify right side
    2,902.72x = 6,904,762.01
  5. Step 5: Solve for x
    x = 6,904,762.01/2,902.72
  6. Step 6: Final answer
    x = 2,378.72

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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.