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Finding the Fourth Proportional to 8,929.80, 13,389.84 and 4,774.68

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Solution

The fourth proportional to 8,929.80, 13,389.84 and 4,774.68 is: 7,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,929.80 : 13,389.84 = 4,774.68 : x
  2. Step 2: Convert to fraction form
    8,929.80/13,389.84 = 4,774.68/x
  3. Step 3: Cross multiply
    8,929.80x = 13,389.84 × 4,774.68
  4. Step 4: Simplify right side
    8,929.80x = 63,932,201.25
  5. Step 5: Solve for x
    x = 63,932,201.25/8,929.80
  6. Step 6: Final answer
    x = 7,159.42

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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.