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Finding the Fourth Proportional to 1,767.50, 2,438.94 and 981.34

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Solution

The fourth proportional to 1,767.50, 2,438.94 and 981.34 is: 1,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.50 : 2,438.94 = 981.34 : x
  2. Step 2: Convert to fraction form
    1,767.50/2,438.94 = 981.34/x
  3. Step 3: Cross multiply
    1,767.50x = 2,438.94 × 981.34
  4. Step 4: Simplify right side
    1,767.50x = 2,393,429.38
  5. Step 5: Solve for x
    x = 2,393,429.38/1,767.50
  6. Step 6: Final answer
    x = 1,354.13

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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.