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Finding the Fourth Proportional to 6,488.28, 9,732.74 and 1,808.28

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Solution

The fourth proportional to 6,488.28, 9,732.74 and 1,808.28 is: 2,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.28 : 9,732.74 = 1,808.28 : x
  2. Step 2: Convert to fraction form
    6,488.28/9,732.74 = 1,808.28/x
  3. Step 3: Cross multiply
    6,488.28x = 9,732.74 × 1,808.28
  4. Step 4: Simplify right side
    6,488.28x = 17,599,510.05
  5. Step 5: Solve for x
    x = 17,599,510.05/6,488.28
  6. Step 6: Final answer
    x = 2,712.51

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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.