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Finding the Fourth Proportional to 11,284, 15,569.76 and 7,304.56

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Solution

The fourth proportional to 11,284, 15,569.76 and 7,304.56 is: 10,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284 : 15,569.76 = 7,304.56 : x
  2. Step 2: Convert to fraction form
    11,284/15,569.76 = 7,304.56/x
  3. Step 3: Cross multiply
    11,284x = 15,569.76 × 7,304.56
  4. Step 4: Simplify right side
    11,284x = 113,730,246.11
  5. Step 5: Solve for x
    x = 113,730,246.11/11,284
  6. Step 6: Final answer
    x = 10,078.89

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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.