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Finding the Fourth Proportional to 9,680, 13,358.88 and 6,368

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Solution

The fourth proportional to 9,680, 13,358.88 and 6,368 is: 8,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 13,358.88 = 6,368 : x
  2. Step 2: Convert to fraction form
    9,680/13,358.88 = 6,368/x
  3. Step 3: Cross multiply
    9,680x = 13,358.88 × 6,368
  4. Step 4: Simplify right side
    9,680x = 85,069,347.84
  5. Step 5: Solve for x
    x = 85,069,347.84/9,680
  6. Step 6: Final answer
    x = 8,788.16

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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.