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Finding the Fourth Proportional to 7,870.80, 11,809.80 and 3,709.20

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Solution

The fourth proportional to 7,870.80, 11,809.80 and 3,709.20 is: 5,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.80 : 11,809.80 = 3,709.20 : x
  2. Step 2: Convert to fraction form
    7,870.80/11,809.80 = 3,709.20/x
  3. Step 3: Cross multiply
    7,870.80x = 11,809.80 × 3,709.20
  4. Step 4: Simplify right side
    7,870.80x = 43,804,910.16
  5. Step 5: Solve for x
    x = 43,804,910.16/7,870.80
  6. Step 6: Final answer
    x = 5,565.50

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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.