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Finding the Fourth Proportional to 1,913.76, 2,871.36 and 988.73

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Solution

The fourth proportional to 1,913.76, 2,871.36 and 988.73 is: 1,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.76 : 2,871.36 = 988.73 : x
  2. Step 2: Convert to fraction form
    1,913.76/2,871.36 = 988.73/x
  3. Step 3: Cross multiply
    1,913.76x = 2,871.36 × 988.73
  4. Step 4: Simplify right side
    1,913.76x = 2,838,999.77
  5. Step 5: Solve for x
    x = 2,838,999.77/1,913.76
  6. Step 6: Final answer
    x = 1,483.47

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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.