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Finding the Fourth Proportional to 1,866.48, 2,569.60 and 1,774.12

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Solution

The fourth proportional to 1,866.48, 2,569.60 and 1,774.12 is: 2,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.48 : 2,569.60 = 1,774.12 : x
  2. Step 2: Convert to fraction form
    1,866.48/2,569.60 = 1,774.12/x
  3. Step 3: Cross multiply
    1,866.48x = 2,569.60 × 1,774.12
  4. Step 4: Simplify right side
    1,866.48x = 4,558,778.75
  5. Step 5: Solve for x
    x = 4,558,778.75/1,866.48
  6. Step 6: Final answer
    x = 2,442.45

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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.