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Finding the Fourth Proportional to 9,271.95, 12,791.01 and 8,210.80

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Solution

The fourth proportional to 9,271.95, 12,791.01 and 8,210.80 is: 11,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.95 : 12,791.01 = 8,210.80 : x
  2. Step 2: Convert to fraction form
    9,271.95/12,791.01 = 8,210.80/x
  3. Step 3: Cross multiply
    9,271.95x = 12,791.01 × 8,210.80
  4. Step 4: Simplify right side
    9,271.95x = 105,024,424.91
  5. Step 5: Solve for x
    x = 105,024,424.91/9,271.95
  6. Step 6: Final answer
    x = 11,327.11

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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.