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Finding the Fourth Proportional to 3,122.77, 4,315.13 and 2,970.91

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Solution

The fourth proportional to 3,122.77, 4,315.13 and 2,970.91 is: 4,105.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.77 : 4,315.13 = 2,970.91 : x
  2. Step 2: Convert to fraction form
    3,122.77/4,315.13 = 2,970.91/x
  3. Step 3: Cross multiply
    3,122.77x = 4,315.13 × 2,970.91
  4. Step 4: Simplify right side
    3,122.77x = 12,819,862.87
  5. Step 5: Solve for x
    x = 12,819,862.87/3,122.77
  6. Step 6: Final answer
    x = 4,105.29

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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.