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Finding the Fourth Proportional to 9,859.52, 14,703.76 and 8,408

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Solution

The fourth proportional to 9,859.52, 14,703.76 and 8,408 is: 12,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.52 : 14,703.76 = 8,408 : x
  2. Step 2: Convert to fraction form
    9,859.52/14,703.76 = 8,408/x
  3. Step 3: Cross multiply
    9,859.52x = 14,703.76 × 8,408
  4. Step 4: Simplify right side
    9,859.52x = 123,629,214.08
  5. Step 5: Solve for x
    x = 123,629,214.08/9,859.52
  6. Step 6: Final answer
    x = 12,539.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.