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Finding the Fourth Proportional to 6,875.80, 10,311.90 and 4,684.12

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Solution

The fourth proportional to 6,875.80, 10,311.90 and 4,684.12 is: 7,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.80 : 10,311.90 = 4,684.12 : x
  2. Step 2: Convert to fraction form
    6,875.80/10,311.90 = 4,684.12/x
  3. Step 3: Cross multiply
    6,875.80x = 10,311.90 × 4,684.12
  4. Step 4: Simplify right side
    6,875.80x = 48,302,177.03
  5. Step 5: Solve for x
    x = 48,302,177.03/6,875.80
  6. Step 6: Final answer
    x = 7,024.95

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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.