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Finding the Fourth Proportional to 6,977.40, 10,487.70 and 6,847.80

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Solution

The fourth proportional to 6,977.40, 10,487.70 and 6,847.80 is: 10,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.40 : 10,487.70 = 6,847.80 : x
  2. Step 2: Convert to fraction form
    6,977.40/10,487.70 = 6,847.80/x
  3. Step 3: Cross multiply
    6,977.40x = 10,487.70 × 6,847.80
  4. Step 4: Simplify right side
    6,977.40x = 71,817,672.06
  5. Step 5: Solve for x
    x = 71,817,672.06/6,977.40
  6. Step 6: Final answer
    x = 10,292.90

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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.