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Finding the Fourth Proportional to 6,659.47, 9,986.10 and 1,977.76

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Solution

The fourth proportional to 6,659.47, 9,986.10 and 1,977.76 is: 2,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.47 : 9,986.10 = 1,977.76 : x
  2. Step 2: Convert to fraction form
    6,659.47/9,986.10 = 1,977.76/x
  3. Step 3: Cross multiply
    6,659.47x = 9,986.10 × 1,977.76
  4. Step 4: Simplify right side
    6,659.47x = 19,750,109.14
  5. Step 5: Solve for x
    x = 19,750,109.14/6,659.47
  6. Step 6: Final answer
    x = 2,965.72

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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.