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Finding the Fourth Proportional to 7,009.82, 10,510.84 and 2,788.80

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Solution

The fourth proportional to 7,009.82, 10,510.84 and 2,788.80 is: 4,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.82 : 10,510.84 = 2,788.80 : x
  2. Step 2: Convert to fraction form
    7,009.82/10,510.84 = 2,788.80/x
  3. Step 3: Cross multiply
    7,009.82x = 10,510.84 × 2,788.80
  4. Step 4: Simplify right side
    7,009.82x = 29,312,594.66
  5. Step 5: Solve for x
    x = 29,312,594.66/7,009.82
  6. Step 6: Final answer
    x = 4,181.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.