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Finding the Fourth Proportional to 5,320.57, 7,980.71 and 1,424.98

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Solution

The fourth proportional to 5,320.57, 7,980.71 and 1,424.98 is: 2,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.57 : 7,980.71 = 1,424.98 : x
  2. Step 2: Convert to fraction form
    5,320.57/7,980.71 = 1,424.98/x
  3. Step 3: Cross multiply
    5,320.57x = 7,980.71 × 1,424.98
  4. Step 4: Simplify right side
    5,320.57x = 11,372,352.14
  5. Step 5: Solve for x
    x = 11,372,352.14/5,320.57
  6. Step 6: Final answer
    x = 2,137.43

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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.