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Finding the Fourth Proportional to 5,678.60, 7,840.26 and 5,079.20

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Solution

The fourth proportional to 5,678.60, 7,840.26 and 5,079.20 is: 7,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.60 : 7,840.26 = 5,079.20 : x
  2. Step 2: Convert to fraction form
    5,678.60/7,840.26 = 5,079.20/x
  3. Step 3: Cross multiply
    5,678.60x = 7,840.26 × 5,079.20
  4. Step 4: Simplify right side
    5,678.60x = 39,822,209.39
  5. Step 5: Solve for x
    x = 39,822,209.39/5,678.60
  6. Step 6: Final answer
    x = 7,012.69

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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.