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Finding the Fourth Proportional to 9,672, 13,347.36 and 5,256

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Solution

The fourth proportional to 9,672, 13,347.36 and 5,256 is: 7,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 13,347.36 = 5,256 : x
  2. Step 2: Convert to fraction form
    9,672/13,347.36 = 5,256/x
  3. Step 3: Cross multiply
    9,672x = 13,347.36 × 5,256
  4. Step 4: Simplify right side
    9,672x = 70,153,724.16
  5. Step 5: Solve for x
    x = 70,153,724.16/9,672
  6. Step 6: Final answer
    x = 7,253.28

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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.