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Finding the Fourth Proportional to 3,916.64, 5,404.80 and 2,148.24

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Solution

The fourth proportional to 3,916.64, 5,404.80 and 2,148.24 is: 2,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.64 : 5,404.80 = 2,148.24 : x
  2. Step 2: Convert to fraction form
    3,916.64/5,404.80 = 2,148.24/x
  3. Step 3: Cross multiply
    3,916.64x = 5,404.80 × 2,148.24
  4. Step 4: Simplify right side
    3,916.64x = 11,610,807.55
  5. Step 5: Solve for x
    x = 11,610,807.55/3,916.64
  6. Step 6: Final answer
    x = 2,964.48

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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.