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Finding the Fourth Proportional to 6,959.76, 10,439.67 and 1,765.64

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Solution

The fourth proportional to 6,959.76, 10,439.67 and 1,765.64 is: 2,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.76 : 10,439.67 = 1,765.64 : x
  2. Step 2: Convert to fraction form
    6,959.76/10,439.67 = 1,765.64/x
  3. Step 3: Cross multiply
    6,959.76x = 10,439.67 × 1,765.64
  4. Step 4: Simplify right side
    6,959.76x = 18,432,646.74
  5. Step 5: Solve for x
    x = 18,432,646.74/6,959.76
  6. Step 6: Final answer
    x = 2,648.46

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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.