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Finding the Fourth Proportional to 4,681.50, 7,019.90 and 1,560.43

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Solution

The fourth proportional to 4,681.50, 7,019.90 and 1,560.43 is: 2,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.50 : 7,019.90 = 1,560.43 : x
  2. Step 2: Convert to fraction form
    4,681.50/7,019.90 = 1,560.43/x
  3. Step 3: Cross multiply
    4,681.50x = 7,019.90 × 1,560.43
  4. Step 4: Simplify right side
    4,681.50x = 10,954,069.38
  5. Step 5: Solve for x
    x = 10,954,069.38/4,681.50
  6. Step 6: Final answer
    x = 2,339.87

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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.