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Finding the Fourth Proportional to 5,291.24, 7,867.60 and 5,069.79

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Solution

The fourth proportional to 5,291.24, 7,867.60 and 5,069.79 is: 7,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.24 : 7,867.60 = 5,069.79 : x
  2. Step 2: Convert to fraction form
    5,291.24/7,867.60 = 5,069.79/x
  3. Step 3: Cross multiply
    5,291.24x = 7,867.60 × 5,069.79
  4. Step 4: Simplify right side
    5,291.24x = 39,887,079.80
  5. Step 5: Solve for x
    x = 39,887,079.80/5,291.24
  6. Step 6: Final answer
    x = 7,538.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.