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Finding the Fourth Proportional to 7,809.84, 11,709.29 and 2,878.16

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Solution

The fourth proportional to 7,809.84, 11,709.29 and 2,878.16 is: 4,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.84 : 11,709.29 = 2,878.16 : x
  2. Step 2: Convert to fraction form
    7,809.84/11,709.29 = 2,878.16/x
  3. Step 3: Cross multiply
    7,809.84x = 11,709.29 × 2,878.16
  4. Step 4: Simplify right side
    7,809.84x = 33,701,158.76
  5. Step 5: Solve for x
    x = 33,701,158.76/7,809.84
  6. Step 6: Final answer
    x = 4,315.22

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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.