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Finding the Fourth Proportional to 7,817.61, 10,788.15 and 4,460.61

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Solution

The fourth proportional to 7,817.61, 10,788.15 and 4,460.61 is: 6,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.61 : 10,788.15 = 4,460.61 : x
  2. Step 2: Convert to fraction form
    7,817.61/10,788.15 = 4,460.61/x
  3. Step 3: Cross multiply
    7,817.61x = 10,788.15 × 4,460.61
  4. Step 4: Simplify right side
    7,817.61x = 48,121,729.77
  5. Step 5: Solve for x
    x = 48,121,729.77/7,817.61
  6. Step 6: Final answer
    x = 6,155.56

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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.