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Finding the Fourth Proportional to 9,075.70, 13,577.10 and 7,856.65

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Solution

The fourth proportional to 9,075.70, 13,577.10 and 7,856.65 is: 11,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.70 : 13,577.10 = 7,856.65 : x
  2. Step 2: Convert to fraction form
    9,075.70/13,577.10 = 7,856.65/x
  3. Step 3: Cross multiply
    9,075.70x = 13,577.10 × 7,856.65
  4. Step 4: Simplify right side
    9,075.70x = 106,670,522.72
  5. Step 5: Solve for x
    x = 106,670,522.72/9,075.70
  6. Step 6: Final answer
    x = 11,753.42

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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.