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Finding the Fourth Proportional to 1,535.90, 2,119.48 and 872.75

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Solution

The fourth proportional to 1,535.90, 2,119.48 and 872.75 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.90 : 2,119.48 = 872.75 : x
  2. Step 2: Convert to fraction form
    1,535.90/2,119.48 = 872.75/x
  3. Step 3: Cross multiply
    1,535.90x = 2,119.48 × 872.75
  4. Step 4: Simplify right side
    1,535.90x = 1,849,763.39
  5. Step 5: Solve for x
    x = 1,849,763.39/1,535.90
  6. Step 6: Final answer
    x = 1,204.35

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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.