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Finding the Fourth Proportional to 3,124.77, 4,311.48 and 1,865.60

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Solution

The fourth proportional to 3,124.77, 4,311.48 and 1,865.60 is: 2,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.77 : 4,311.48 = 1,865.60 : x
  2. Step 2: Convert to fraction form
    3,124.77/4,311.48 = 1,865.60/x
  3. Step 3: Cross multiply
    3,124.77x = 4,311.48 × 1,865.60
  4. Step 4: Simplify right side
    3,124.77x = 8,043,475.53
  5. Step 5: Solve for x
    x = 8,043,475.53/3,124.77
  6. Step 6: Final answer
    x = 2,574.10

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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.