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Finding the Fourth Proportional to 9,788.91, 13,503.69 and 6,248.40

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Solution

The fourth proportional to 9,788.91, 13,503.69 and 6,248.40 is: 8,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.91 : 13,503.69 = 6,248.40 : x
  2. Step 2: Convert to fraction form
    9,788.91/13,503.69 = 6,248.40/x
  3. Step 3: Cross multiply
    9,788.91x = 13,503.69 × 6,248.40
  4. Step 4: Simplify right side
    9,788.91x = 84,376,456.60
  5. Step 5: Solve for x
    x = 84,376,456.60/9,788.91
  6. Step 6: Final answer
    x = 8,619.60

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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.