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Finding the Fourth Proportional to 3,122.58, 4,307.22 and 1,862.76

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Solution

The fourth proportional to 3,122.58, 4,307.22 and 1,862.76 is: 2,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.58 : 4,307.22 = 1,862.76 : x
  2. Step 2: Convert to fraction form
    3,122.58/4,307.22 = 1,862.76/x
  3. Step 3: Cross multiply
    3,122.58x = 4,307.22 × 1,862.76
  4. Step 4: Simplify right side
    3,122.58x = 8,023,317.13
  5. Step 5: Solve for x
    x = 8,023,317.13/3,122.58
  6. Step 6: Final answer
    x = 2,569.45

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Half scale
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Double scale
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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.