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Finding the Fourth Proportional to 11,281, 15,564.18 and 7,305.16

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Solution

The fourth proportional to 11,281, 15,564.18 and 7,305.16 is: 10,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281 : 15,564.18 = 7,305.16 : x
  2. Step 2: Convert to fraction form
    11,281/15,564.18 = 7,305.16/x
  3. Step 3: Cross multiply
    11,281x = 15,564.18 × 7,305.16
  4. Step 4: Simplify right side
    11,281x = 113,698,825.17
  5. Step 5: Solve for x
    x = 113,698,825.17/11,281
  6. Step 6: Final answer
    x = 10,078.79

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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.