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Finding the Fourth Proportional to 2,077.80, 2,915.40 and 2,077.80

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Solution

The fourth proportional to 2,077.80, 2,915.40 and 2,077.80 is: 2,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.80 : 2,915.40 = 2,077.80 : x
  2. Step 2: Convert to fraction form
    2,077.80/2,915.40 = 2,077.80/x
  3. Step 3: Cross multiply
    2,077.80x = 2,915.40 × 2,077.80
  4. Step 4: Simplify right side
    2,077.80x = 6,057,618.12
  5. Step 5: Solve for x
    x = 6,057,618.12/2,077.80
  6. Step 6: Final answer
    x = 2,915.40

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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.