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Finding the Fourth Proportional to 6,516.40, 9,752.20 and 3,921.20

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Solution

The fourth proportional to 6,516.40, 9,752.20 and 3,921.20 is: 5,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.40 : 9,752.20 = 3,921.20 : x
  2. Step 2: Convert to fraction form
    6,516.40/9,752.20 = 3,921.20/x
  3. Step 3: Cross multiply
    6,516.40x = 9,752.20 × 3,921.20
  4. Step 4: Simplify right side
    6,516.40x = 38,240,326.64
  5. Step 5: Solve for x
    x = 38,240,326.64/6,516.40
  6. Step 6: Final answer
    x = 5,868.32

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1.5x scale

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.