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Finding the Fourth Proportional to 9,512, 13,126.56 and 5,320.28

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Solution

The fourth proportional to 9,512, 13,126.56 and 5,320.28 is: 7,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512 : 13,126.56 = 5,320.28 : x
  2. Step 2: Convert to fraction form
    9,512/13,126.56 = 5,320.28/x
  3. Step 3: Cross multiply
    9,512x = 13,126.56 × 5,320.28
  4. Step 4: Simplify right side
    9,512x = 69,836,974.64
  5. Step 5: Solve for x
    x = 69,836,974.64/9,512
  6. Step 6: Final answer
    x = 7,341.99

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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.