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Finding the Fourth Proportional to 1,868.52, 2,580.90 and 1,574.76

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Solution

The fourth proportional to 1,868.52, 2,580.90 and 1,574.76 is: 2,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.52 : 2,580.90 = 1,574.76 : x
  2. Step 2: Convert to fraction form
    1,868.52/2,580.90 = 1,574.76/x
  3. Step 3: Cross multiply
    1,868.52x = 2,580.90 × 1,574.76
  4. Step 4: Simplify right side
    1,868.52x = 4,064,298.08
  5. Step 5: Solve for x
    x = 4,064,298.08/1,868.52
  6. Step 6: Final answer
    x = 2,175.14

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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.