Home / 1,121.49-1,547.70-934.67

Finding the Fourth Proportional to 1,121.49, 1,547.70 and 934.67

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Solution

The fourth proportional to 1,121.49, 1,547.70 and 934.67 is: 1,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.49 : 1,547.70 = 934.67 : x
  2. Step 2: Convert to fraction form
    1,121.49/1,547.70 = 934.67/x
  3. Step 3: Cross multiply
    1,121.49x = 1,547.70 × 934.67
  4. Step 4: Simplify right side
    1,121.49x = 1,446,581.02
  5. Step 5: Solve for x
    x = 1,446,581.02/1,121.49
  6. Step 6: Final answer
    x = 1,289.88

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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.