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Finding the Fourth Proportional to 6,652.46, 9,980.65 and 1,972.60

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Solution

The fourth proportional to 6,652.46, 9,980.65 and 1,972.60 is: 2,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.46 : 9,980.65 = 1,972.60 : x
  2. Step 2: Convert to fraction form
    6,652.46/9,980.65 = 1,972.60/x
  3. Step 3: Cross multiply
    6,652.46x = 9,980.65 × 1,972.60
  4. Step 4: Simplify right side
    6,652.46x = 19,687,800.31
  5. Step 5: Solve for x
    x = 19,687,800.31/6,652.46
  6. Step 6: Final answer
    x = 2,959.48

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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.