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Finding the Fourth Proportional to 8,005.17, 12,009.80 and 3,075.17

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Solution

The fourth proportional to 8,005.17, 12,009.80 and 3,075.17 is: 4,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.17 : 12,009.80 = 3,075.17 : x
  2. Step 2: Convert to fraction form
    8,005.17/12,009.80 = 3,075.17/x
  3. Step 3: Cross multiply
    8,005.17x = 12,009.80 × 3,075.17
  4. Step 4: Simplify right side
    8,005.17x = 36,932,176.67
  5. Step 5: Solve for x
    x = 36,932,176.67/8,005.17
  6. Step 6: Final answer
    x = 4,613.54

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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.