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Finding the Fourth Proportional to 3,148.64, 4,723.52 and 1,298.72

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Solution

The fourth proportional to 3,148.64, 4,723.52 and 1,298.72 is: 1,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.64 : 4,723.52 = 1,298.72 : x
  2. Step 2: Convert to fraction form
    3,148.64/4,723.52 = 1,298.72/x
  3. Step 3: Cross multiply
    3,148.64x = 4,723.52 × 1,298.72
  4. Step 4: Simplify right side
    3,148.64x = 6,134,529.89
  5. Step 5: Solve for x
    x = 6,134,529.89/3,148.64
  6. Step 6: Final answer
    x = 1,948.31

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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.