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Finding the Fourth Proportional to 1,260.18, 1,891.53 and 946.76

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Solution

The fourth proportional to 1,260.18, 1,891.53 and 946.76 is: 1,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.18 : 1,891.53 = 946.76 : x
  2. Step 2: Convert to fraction form
    1,260.18/1,891.53 = 946.76/x
  3. Step 3: Cross multiply
    1,260.18x = 1,891.53 × 946.76
  4. Step 4: Simplify right side
    1,260.18x = 1,790,815.49
  5. Step 5: Solve for x
    x = 1,790,815.49/1,260.18
  6. Step 6: Final answer
    x = 1,421.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.