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Finding the Fourth Proportional to 4,679.35, 7,018.22 and 1,559

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Solution

The fourth proportional to 4,679.35, 7,018.22 and 1,559 is: 2,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.35 : 7,018.22 = 1,559 : x
  2. Step 2: Convert to fraction form
    4,679.35/7,018.22 = 1,559/x
  3. Step 3: Cross multiply
    4,679.35x = 7,018.22 × 1,559
  4. Step 4: Simplify right side
    4,679.35x = 10,941,397.19
  5. Step 5: Solve for x
    x = 10,941,397.19/4,679.35
  6. Step 6: Final answer
    x = 2,338.23

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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.