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Finding the Fourth Proportional to 7,800.82, 11,700.86 and 2,870.16

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Solution

The fourth proportional to 7,800.82, 11,700.86 and 2,870.16 is: 4,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.82 : 11,700.86 = 2,870.16 : x
  2. Step 2: Convert to fraction form
    7,800.82/11,700.86 = 2,870.16/x
  3. Step 3: Cross multiply
    7,800.82x = 11,700.86 × 2,870.16
  4. Step 4: Simplify right side
    7,800.82x = 33,583,340.34
  5. Step 5: Solve for x
    x = 33,583,340.34/7,800.82
  6. Step 6: Final answer
    x = 4,305.10

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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.