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Finding the Fourth Proportional to 5,322.90, 7,978.88 and 2,403.24

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Solution

The fourth proportional to 5,322.90, 7,978.88 and 2,403.24 is: 3,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.90 : 7,978.88 = 2,403.24 : x
  2. Step 2: Convert to fraction form
    5,322.90/7,978.88 = 2,403.24/x
  3. Step 3: Cross multiply
    5,322.90x = 7,978.88 × 2,403.24
  4. Step 4: Simplify right side
    5,322.90x = 19,175,163.57
  5. Step 5: Solve for x
    x = 19,175,163.57/5,322.90
  6. Step 6: Final answer
    x = 3,602.39

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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.