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Finding the Fourth Proportional to 8,271.40, 12,411.90 and 3,077.80

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Solution

The fourth proportional to 8,271.40, 12,411.90 and 3,077.80 is: 4,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.40 : 12,411.90 = 3,077.80 : x
  2. Step 2: Convert to fraction form
    8,271.40/12,411.90 = 3,077.80/x
  3. Step 3: Cross multiply
    8,271.40x = 12,411.90 × 3,077.80
  4. Step 4: Simplify right side
    8,271.40x = 38,201,345.82
  5. Step 5: Solve for x
    x = 38,201,345.82/8,271.40
  6. Step 6: Final answer
    x = 4,618.49

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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.