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Finding the Fourth Proportional to 1,511.65, 2,087.25 and 980.78

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Solution

The fourth proportional to 1,511.65, 2,087.25 and 980.78 is: 1,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.65 : 2,087.25 = 980.78 : x
  2. Step 2: Convert to fraction form
    1,511.65/2,087.25 = 980.78/x
  3. Step 3: Cross multiply
    1,511.65x = 2,087.25 × 980.78
  4. Step 4: Simplify right side
    1,511.65x = 2,047,133.06
  5. Step 5: Solve for x
    x = 2,047,133.06/1,511.65
  6. Step 6: Final answer
    x = 1,354.24

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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.