Home / 2,289.14-3,434.32-972.95

Finding the Fourth Proportional to 2,289.14, 3,434.32 and 972.95

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Solution

The fourth proportional to 2,289.14, 3,434.32 and 972.95 is: 1,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.14 : 3,434.32 = 972.95 : x
  2. Step 2: Convert to fraction form
    2,289.14/3,434.32 = 972.95/x
  3. Step 3: Cross multiply
    2,289.14x = 3,434.32 × 972.95
  4. Step 4: Simplify right side
    2,289.14x = 3,341,421.64
  5. Step 5: Solve for x
    x = 3,341,421.64/2,289.14
  6. Step 6: Final answer
    x = 1,459.68

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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.