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Finding the Fourth Proportional to 7,778.68, 10,734.69 and 4,242.07

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Solution

The fourth proportional to 7,778.68, 10,734.69 and 4,242.07 is: 5,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.68 : 10,734.69 = 4,242.07 : x
  2. Step 2: Convert to fraction form
    7,778.68/10,734.69 = 4,242.07/x
  3. Step 3: Cross multiply
    7,778.68x = 10,734.69 × 4,242.07
  4. Step 4: Simplify right side
    7,778.68x = 45,537,306.41
  5. Step 5: Solve for x
    x = 45,537,306.41/7,778.68
  6. Step 6: Final answer
    x = 5,854.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.