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Finding the Fourth Proportional to 6,652.10, 9,977.30 and 1,972.00

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Solution

The fourth proportional to 6,652.10, 9,977.30 and 1,972.00 is: 2,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.10 : 9,977.30 = 1,972.00 : x
  2. Step 2: Convert to fraction form
    6,652.10/9,977.30 = 1,972.00/x
  3. Step 3: Cross multiply
    6,652.10x = 9,977.30 × 1,972.00
  4. Step 4: Simplify right side
    6,652.10x = 19,675,175.85
  5. Step 5: Solve for x
    x = 19,675,175.85/6,652.10
  6. Step 6: Final answer
    x = 2,957.74

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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.