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Finding the Fourth Proportional to 4,560, 6,840.66 and 1,438.95

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Solution

The fourth proportional to 4,560, 6,840.66 and 1,438.95 is: 2,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560 : 6,840.66 = 1,438.95 : x
  2. Step 2: Convert to fraction form
    4,560/6,840.66 = 1,438.95/x
  3. Step 3: Cross multiply
    4,560x = 6,840.66 × 1,438.95
  4. Step 4: Simplify right side
    4,560x = 9,843,367.71
  5. Step 5: Solve for x
    x = 9,843,367.71/4,560
  6. Step 6: Final answer
    x = 2,158.63

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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.