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Finding the Fourth Proportional to 1,381.95, 1,902.96 and 988.29

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Solution

The fourth proportional to 1,381.95, 1,902.96 and 988.29 is: 1,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.95 : 1,902.96 = 988.29 : x
  2. Step 2: Convert to fraction form
    1,381.95/1,902.96 = 988.29/x
  3. Step 3: Cross multiply
    1,381.95x = 1,902.96 × 988.29
  4. Step 4: Simplify right side
    1,381.95x = 1,880,676.34
  5. Step 5: Solve for x
    x = 1,880,676.34/1,381.95
  6. Step 6: Final answer
    x = 1,360.89

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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.