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Finding the Fourth Proportional to 6,642.36, 9,964.80 and 2,746.80

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Solution

The fourth proportional to 6,642.36, 9,964.80 and 2,746.80 is: 4,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.36 : 9,964.80 = 2,746.80 : x
  2. Step 2: Convert to fraction form
    6,642.36/9,964.80 = 2,746.80/x
  3. Step 3: Cross multiply
    6,642.36x = 9,964.80 × 2,746.80
  4. Step 4: Simplify right side
    6,642.36x = 27,371,312.64
  5. Step 5: Solve for x
    x = 27,371,312.64/6,642.36
  6. Step 6: Final answer
    x = 4,120.72

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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.