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Finding the Fourth Proportional to 8,140.60, 12,210.90 and 4,857.40

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Solution

The fourth proportional to 8,140.60, 12,210.90 and 4,857.40 is: 7,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.60 : 12,210.90 = 4,857.40 : x
  2. Step 2: Convert to fraction form
    8,140.60/12,210.90 = 4,857.40/x
  3. Step 3: Cross multiply
    8,140.60x = 12,210.90 × 4,857.40
  4. Step 4: Simplify right side
    8,140.60x = 59,313,225.66
  5. Step 5: Solve for x
    x = 59,313,225.66/8,140.60
  6. Step 6: Final answer
    x = 7,286.10

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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.