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Finding the Fourth Proportional to 1,376.04, 1,899.09 and 956.28

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Solution

The fourth proportional to 1,376.04, 1,899.09 and 956.28 is: 1,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.04 : 1,899.09 = 956.28 : x
  2. Step 2: Convert to fraction form
    1,376.04/1,899.09 = 956.28/x
  3. Step 3: Cross multiply
    1,376.04x = 1,899.09 × 956.28
  4. Step 4: Simplify right side
    1,376.04x = 1,816,061.79
  5. Step 5: Solve for x
    x = 1,816,061.79/1,376.04
  6. Step 6: Final answer
    x = 1,319.77

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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.