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Finding the Fourth Proportional to 14,578.95, 21,870.20 and 5,219.95

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Solution

The fourth proportional to 14,578.95, 21,870.20 and 5,219.95 is: 7,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.95 : 21,870.20 = 5,219.95 : x
  2. Step 2: Convert to fraction form
    14,578.95/21,870.20 = 5,219.95/x
  3. Step 3: Cross multiply
    14,578.95x = 21,870.20 × 5,219.95
  4. Step 4: Simplify right side
    14,578.95x = 114,161,350.49
  5. Step 5: Solve for x
    x = 114,161,350.49/14,578.95
  6. Step 6: Final answer
    x = 7,830.56

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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.