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Finding the Fourth Proportional to 10,720.76, 16,081.14 and 2,929.64

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Solution

The fourth proportional to 10,720.76, 16,081.14 and 2,929.64 is: 4,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.76 : 16,081.14 = 2,929.64 : x
  2. Step 2: Convert to fraction form
    10,720.76/16,081.14 = 2,929.64/x
  3. Step 3: Cross multiply
    10,720.76x = 16,081.14 × 2,929.64
  4. Step 4: Simplify right side
    10,720.76x = 47,111,950.99
  5. Step 5: Solve for x
    x = 47,111,950.99/10,720.76
  6. Step 6: Final answer
    x = 4,394.46

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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.