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Finding the Fourth Proportional to 2,710.13, 4,065.19 and 658.13

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Solution

The fourth proportional to 2,710.13, 4,065.19 and 658.13 is: 987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.13 : 4,065.19 = 658.13 : x
  2. Step 2: Convert to fraction form
    2,710.13/4,065.19 = 658.13/x
  3. Step 3: Cross multiply
    2,710.13x = 4,065.19 × 658.13
  4. Step 4: Simplify right side
    2,710.13x = 2,675,401.52
  5. Step 5: Solve for x
    x = 2,675,401.52/2,710.13
  6. Step 6: Final answer
    x = 987.19

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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.