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Finding the Fourth Proportional to 2,289, 3,434.16 and 1,315.80

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Solution

The fourth proportional to 2,289, 3,434.16 and 1,315.80 is: 1,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 3,434.16 = 1,315.80 : x
  2. Step 2: Convert to fraction form
    2,289/3,434.16 = 1,315.80/x
  3. Step 3: Cross multiply
    2,289x = 3,434.16 × 1,315.80
  4. Step 4: Simplify right side
    2,289x = 4,518,667.73
  5. Step 5: Solve for x
    x = 4,518,667.73/2,289
  6. Step 6: Final answer
    x = 1,974.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.