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Finding the Fourth Proportional to 5,259.80, 7,885.11 and 1,972.01

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Solution

The fourth proportional to 5,259.80, 7,885.11 and 1,972.01 is: 2,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.80 : 7,885.11 = 1,972.01 : x
  2. Step 2: Convert to fraction form
    5,259.80/7,885.11 = 1,972.01/x
  3. Step 3: Cross multiply
    5,259.80x = 7,885.11 × 1,972.01
  4. Step 4: Simplify right side
    5,259.80x = 15,549,515.77
  5. Step 5: Solve for x
    x = 15,549,515.77/5,259.80
  6. Step 6: Final answer
    x = 2,956.29

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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.