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Finding the Fourth Proportional to 9,564, 13,198.08 and 5,315.07

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Solution

The fourth proportional to 9,564, 13,198.08 and 5,315.07 is: 7,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 13,198.08 = 5,315.07 : x
  2. Step 2: Convert to fraction form
    9,564/13,198.08 = 5,315.07/x
  3. Step 3: Cross multiply
    9,564x = 13,198.08 × 5,315.07
  4. Step 4: Simplify right side
    9,564x = 70,148,719.07
  5. Step 5: Solve for x
    x = 70,148,719.07/9,564
  6. Step 6: Final answer
    x = 7,334.66

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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.