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Finding the Fourth Proportional to 1,535.95, 2,119.73 and 873.01

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Solution

The fourth proportional to 1,535.95, 2,119.73 and 873.01 is: 1,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.95 : 2,119.73 = 873.01 : x
  2. Step 2: Convert to fraction form
    1,535.95/2,119.73 = 873.01/x
  3. Step 3: Cross multiply
    1,535.95x = 2,119.73 × 873.01
  4. Step 4: Simplify right side
    1,535.95x = 1,850,545.49
  5. Step 5: Solve for x
    x = 1,850,545.49/1,535.95
  6. Step 6: Final answer
    x = 1,204.82

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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.