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Finding the Fourth Proportional to 2,915, 4,024.22 and 2,266.80

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Solution

The fourth proportional to 2,915, 4,024.22 and 2,266.80 is: 3,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915 : 4,024.22 = 2,266.80 : x
  2. Step 2: Convert to fraction form
    2,915/4,024.22 = 2,266.80/x
  3. Step 3: Cross multiply
    2,915x = 4,024.22 × 2,266.80
  4. Step 4: Simplify right side
    2,915x = 9,122,081.77
  5. Step 5: Solve for x
    x = 9,122,081.77/2,915
  6. Step 6: Final answer
    x = 3,129.36

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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.