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Finding the Fourth Proportional to 6,140.53, 9,210.57 and 3,658.90

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Solution

The fourth proportional to 6,140.53, 9,210.57 and 3,658.90 is: 5,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.53 : 9,210.57 = 3,658.90 : x
  2. Step 2: Convert to fraction form
    6,140.53/9,210.57 = 3,658.90/x
  3. Step 3: Cross multiply
    6,140.53x = 9,210.57 × 3,658.90
  4. Step 4: Simplify right side
    6,140.53x = 33,700,554.57
  5. Step 5: Solve for x
    x = 33,700,554.57/6,140.53
  6. Step 6: Final answer
    x = 5,488.22

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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.