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Finding the Fourth Proportional to 1,381.15, 1,904.34 and 948.88

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Solution

The fourth proportional to 1,381.15, 1,904.34 and 948.88 is: 1,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.15 : 1,904.34 = 948.88 : x
  2. Step 2: Convert to fraction form
    1,381.15/1,904.34 = 948.88/x
  3. Step 3: Cross multiply
    1,381.15x = 1,904.34 × 948.88
  4. Step 4: Simplify right side
    1,381.15x = 1,806,990.14
  5. Step 5: Solve for x
    x = 1,806,990.14/1,381.15
  6. Step 6: Final answer
    x = 1,308.32

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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.