Home / 5,105.42-7,658.57-1,407.65

Finding the Fourth Proportional to 5,105.42, 7,658.57 and 1,407.65

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Solution

The fourth proportional to 5,105.42, 7,658.57 and 1,407.65 is: 2,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.42 : 7,658.57 = 1,407.65 : x
  2. Step 2: Convert to fraction form
    5,105.42/7,658.57 = 1,407.65/x
  3. Step 3: Cross multiply
    5,105.42x = 7,658.57 × 1,407.65
  4. Step 4: Simplify right side
    5,105.42x = 10,780,598.17
  5. Step 5: Solve for x
    x = 10,780,598.17/5,105.42
  6. Step 6: Final answer
    x = 2,111.60

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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.