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Finding the Fourth Proportional to 1,888.17, 2,831.76 and 702.11

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Solution

The fourth proportional to 1,888.17, 2,831.76 and 702.11 is: 1,052.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.17 : 2,831.76 = 702.11 : x
  2. Step 2: Convert to fraction form
    1,888.17/2,831.76 = 702.11/x
  3. Step 3: Cross multiply
    1,888.17x = 2,831.76 × 702.11
  4. Step 4: Simplify right side
    1,888.17x = 1,988,207.01
  5. Step 5: Solve for x
    x = 1,988,207.01/1,888.17
  6. Step 6: Final answer
    x = 1,052.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.