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Finding the Fourth Proportional to 1,325.80, 1,827.74 and 952.16

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Solution

The fourth proportional to 1,325.80, 1,827.74 and 952.16 is: 1,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.80 : 1,827.74 = 952.16 : x
  2. Step 2: Convert to fraction form
    1,325.80/1,827.74 = 952.16/x
  3. Step 3: Cross multiply
    1,325.80x = 1,827.74 × 952.16
  4. Step 4: Simplify right side
    1,325.80x = 1,740,294.16
  5. Step 5: Solve for x
    x = 1,740,294.16/1,325.80
  6. Step 6: Final answer
    x = 1,312.64

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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.