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Finding the Fourth Proportional to 8,269.90, 12,404.85 and 3,075.10

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Solution

The fourth proportional to 8,269.90, 12,404.85 and 3,075.10 is: 4,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.90 : 12,404.85 = 3,075.10 : x
  2. Step 2: Convert to fraction form
    8,269.90/12,404.85 = 3,075.10/x
  3. Step 3: Cross multiply
    8,269.90x = 12,404.85 × 3,075.10
  4. Step 4: Simplify right side
    8,269.90x = 38,146,154.24
  5. Step 5: Solve for x
    x = 38,146,154.24/8,269.90
  6. Step 6: Final answer
    x = 4,612.65

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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.