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Finding the Fourth Proportional to 1,862.64, 2,570.76 and 1,076.76

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Solution

The fourth proportional to 1,862.64, 2,570.76 and 1,076.76 is: 1,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.64 : 2,570.76 = 1,076.76 : x
  2. Step 2: Convert to fraction form
    1,862.64/2,570.76 = 1,076.76/x
  3. Step 3: Cross multiply
    1,862.64x = 2,570.76 × 1,076.76
  4. Step 4: Simplify right side
    1,862.64x = 2,768,091.54
  5. Step 5: Solve for x
    x = 2,768,091.54/1,862.64
  6. Step 6: Final answer
    x = 1,486.11

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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.