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Finding the Fourth Proportional to 1,507.32, 2,080.12 and 877.90

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Solution

The fourth proportional to 1,507.32, 2,080.12 and 877.90 is: 1,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.32 : 2,080.12 = 877.90 : x
  2. Step 2: Convert to fraction form
    1,507.32/2,080.12 = 877.90/x
  3. Step 3: Cross multiply
    1,507.32x = 2,080.12 × 877.90
  4. Step 4: Simplify right side
    1,507.32x = 1,826,137.35
  5. Step 5: Solve for x
    x = 1,826,137.35/1,507.32
  6. Step 6: Final answer
    x = 1,211.51

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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.