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Finding the Fourth Proportional to 2,077.40, 2,917 and 2,077.40

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Solution

The fourth proportional to 2,077.40, 2,917 and 2,077.40 is: 2,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.40 : 2,917 = 2,077.40 : x
  2. Step 2: Convert to fraction form
    2,077.40/2,917 = 2,077.40/x
  3. Step 3: Cross multiply
    2,077.40x = 2,917 × 2,077.40
  4. Step 4: Simplify right side
    2,077.40x = 6,059,775.80
  5. Step 5: Solve for x
    x = 6,059,775.80/2,077.40
  6. Step 6: Final answer
    x = 2,917

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.