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Finding the Fourth Proportional to 1,505.03, 2,076.84 and 841.87

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Solution

The fourth proportional to 1,505.03, 2,076.84 and 841.87 is: 1,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.03 : 2,076.84 = 841.87 : x
  2. Step 2: Convert to fraction form
    1,505.03/2,076.84 = 841.87/x
  3. Step 3: Cross multiply
    1,505.03x = 2,076.84 × 841.87
  4. Step 4: Simplify right side
    1,505.03x = 1,748,429.29
  5. Step 5: Solve for x
    x = 1,748,429.29/1,505.03
  6. Step 6: Final answer
    x = 1,161.72

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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.