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Finding the Fourth Proportional to 1,373.11, 1,891.93 and 930.24

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Solution

The fourth proportional to 1,373.11, 1,891.93 and 930.24 is: 1,281.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.11 : 1,891.93 = 930.24 : x
  2. Step 2: Convert to fraction form
    1,373.11/1,891.93 = 930.24/x
  3. Step 3: Cross multiply
    1,373.11x = 1,891.93 × 930.24
  4. Step 4: Simplify right side
    1,373.11x = 1,759,948.96
  5. Step 5: Solve for x
    x = 1,759,948.96/1,373.11
  6. Step 6: Final answer
    x = 1,281.72

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1.5x scale

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.