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Finding the Fourth Proportional to 7,758.62, 10,708 and 4,402.26

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Solution

The fourth proportional to 7,758.62, 10,708 and 4,402.26 is: 6,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.62 : 10,708 = 4,402.26 : x
  2. Step 2: Convert to fraction form
    7,758.62/10,708 = 4,402.26/x
  3. Step 3: Cross multiply
    7,758.62x = 10,708 × 4,402.26
  4. Step 4: Simplify right side
    7,758.62x = 47,139,400.08
  5. Step 5: Solve for x
    x = 47,139,400.08/7,758.62
  6. Step 6: Final answer
    x = 6,075.75

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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.