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Finding the Fourth Proportional to 11,280, 15,562.80 and 7,304.16

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Solution

The fourth proportional to 11,280, 15,562.80 and 7,304.16 is: 10,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280 : 15,562.80 = 7,304.16 : x
  2. Step 2: Convert to fraction form
    11,280/15,562.80 = 7,304.16/x
  3. Step 3: Cross multiply
    11,280x = 15,562.80 × 7,304.16
  4. Step 4: Simplify right side
    11,280x = 113,673,181.25
  5. Step 5: Solve for x
    x = 113,673,181.25/11,280
  6. Step 6: Final answer
    x = 10,077.41

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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.