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Finding the Fourth Proportional to 9,952, 13,738.08 and 6,228.16

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Solution

The fourth proportional to 9,952, 13,738.08 and 6,228.16 is: 8,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952 : 13,738.08 = 6,228.16 : x
  2. Step 2: Convert to fraction form
    9,952/13,738.08 = 6,228.16/x
  3. Step 3: Cross multiply
    9,952x = 13,738.08 × 6,228.16
  4. Step 4: Simplify right side
    9,952x = 85,562,960.33
  5. Step 5: Solve for x
    x = 85,562,960.33/9,952
  6. Step 6: Final answer
    x = 8,597.56

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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.