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Finding the Fourth Proportional to 14,275.78, 21,408.32 and 4,913.14

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Solution

The fourth proportional to 14,275.78, 21,408.32 and 4,913.14 is: 7,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.78 : 21,408.32 = 4,913.14 : x
  2. Step 2: Convert to fraction form
    14,275.78/21,408.32 = 4,913.14/x
  3. Step 3: Cross multiply
    14,275.78x = 21,408.32 × 4,913.14
  4. Step 4: Simplify right side
    14,275.78x = 105,182,073.32
  5. Step 5: Solve for x
    x = 105,182,073.32/14,275.78
  6. Step 6: Final answer
    x = 7,367.87

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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.