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Finding the Fourth Proportional to 7,485.80, 11,228.70 and 6,870.20

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Solution

The fourth proportional to 7,485.80, 11,228.70 and 6,870.20 is: 10,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.80 : 11,228.70 = 6,870.20 : x
  2. Step 2: Convert to fraction form
    7,485.80/11,228.70 = 6,870.20/x
  3. Step 3: Cross multiply
    7,485.80x = 11,228.70 × 6,870.20
  4. Step 4: Simplify right side
    7,485.80x = 77,143,414.74
  5. Step 5: Solve for x
    x = 77,143,414.74/7,485.80
  6. Step 6: Final answer
    x = 10,305.30

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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.