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Finding the Fourth Proportional to 9,214.80, 12,718.20 and 6,070.80

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Solution

The fourth proportional to 9,214.80, 12,718.20 and 6,070.80 is: 8,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.80 : 12,718.20 = 6,070.80 : x
  2. Step 2: Convert to fraction form
    9,214.80/12,718.20 = 6,070.80/x
  3. Step 3: Cross multiply
    9,214.80x = 12,718.20 × 6,070.80
  4. Step 4: Simplify right side
    9,214.80x = 77,209,648.56
  5. Step 5: Solve for x
    x = 77,209,648.56/9,214.80
  6. Step 6: Final answer
    x = 8,378.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.