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Finding the Fourth Proportional to 5,320.19, 7,975.07 and 1,986

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Solution

The fourth proportional to 5,320.19, 7,975.07 and 1,986 is: 2,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.19 : 7,975.07 = 1,986 : x
  2. Step 2: Convert to fraction form
    5,320.19/7,975.07 = 1,986/x
  3. Step 3: Cross multiply
    5,320.19x = 7,975.07 × 1,986
  4. Step 4: Simplify right side
    5,320.19x = 15,838,479.09
  5. Step 5: Solve for x
    x = 15,838,479.09/5,320.19
  6. Step 6: Final answer
    x = 2,977.05

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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.