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Finding the Fourth Proportional to 11,294.84, 15,587.70 and 6,819.68

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Solution

The fourth proportional to 11,294.84, 15,587.70 and 6,819.68 is: 9,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.84 : 15,587.70 = 6,819.68 : x
  2. Step 2: Convert to fraction form
    11,294.84/15,587.70 = 6,819.68/x
  3. Step 3: Cross multiply
    11,294.84x = 15,587.70 × 6,819.68
  4. Step 4: Simplify right side
    11,294.84x = 106,303,125.94
  5. Step 5: Solve for x
    x = 106,303,125.94/11,294.84
  6. Step 6: Final answer
    x = 9,411.65

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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.