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Finding the Fourth Proportional to 1,862.76, 2,570.70 and 1,076.88

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Solution

The fourth proportional to 1,862.76, 2,570.70 and 1,076.88 is: 1,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.76 : 2,570.70 = 1,076.88 : x
  2. Step 2: Convert to fraction form
    1,862.76/2,570.70 = 1,076.88/x
  3. Step 3: Cross multiply
    1,862.76x = 2,570.70 × 1,076.88
  4. Step 4: Simplify right side
    1,862.76x = 2,768,335.42
  5. Step 5: Solve for x
    x = 2,768,335.42/1,862.76
  6. Step 6: Final answer
    x = 1,486.15

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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.