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Finding the Fourth Proportional to 1,306.62, 1,804.71 and 1,134.12

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Solution

The fourth proportional to 1,306.62, 1,804.71 and 1,134.12 is: 1,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.62 : 1,804.71 = 1,134.12 : x
  2. Step 2: Convert to fraction form
    1,306.62/1,804.71 = 1,134.12/x
  3. Step 3: Cross multiply
    1,306.62x = 1,804.71 × 1,134.12
  4. Step 4: Simplify right side
    1,306.62x = 2,046,757.71
  5. Step 5: Solve for x
    x = 2,046,757.71/1,306.62
  6. Step 6: Final answer
    x = 1,566.45

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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.