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Finding the Fourth Proportional to 8,929.76, 12,322.94 and 4,950.78

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Solution

The fourth proportional to 8,929.76, 12,322.94 and 4,950.78 is: 6,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.76 : 12,322.94 = 4,950.78 : x
  2. Step 2: Convert to fraction form
    8,929.76/12,322.94 = 4,950.78/x
  3. Step 3: Cross multiply
    8,929.76x = 12,322.94 × 4,950.78
  4. Step 4: Simplify right side
    8,929.76x = 61,008,140.14
  5. Step 5: Solve for x
    x = 61,008,140.14/8,929.76
  6. Step 6: Final answer
    x = 6,832.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.