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Finding the Fourth Proportional to 1,555.76, 2,146.95 and 857.13

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Solution

The fourth proportional to 1,555.76, 2,146.95 and 857.13 is: 1,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.76 : 2,146.95 = 857.13 : x
  2. Step 2: Convert to fraction form
    1,555.76/2,146.95 = 857.13/x
  3. Step 3: Cross multiply
    1,555.76x = 2,146.95 × 857.13
  4. Step 4: Simplify right side
    1,555.76x = 1,840,215.25
  5. Step 5: Solve for x
    x = 1,840,215.25/1,555.76
  6. Step 6: Final answer
    x = 1,182.84

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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.