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Finding the Fourth Proportional to 10,734.84, 14,814.72 and 6,019.38

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Solution

The fourth proportional to 10,734.84, 14,814.72 and 6,019.38 is: 8,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.84 : 14,814.72 = 6,019.38 : x
  2. Step 2: Convert to fraction form
    10,734.84/14,814.72 = 6,019.38/x
  3. Step 3: Cross multiply
    10,734.84x = 14,814.72 × 6,019.38
  4. Step 4: Simplify right side
    10,734.84x = 89,175,429.27
  5. Step 5: Solve for x
    x = 89,175,429.27/10,734.84
  6. Step 6: Final answer
    x = 8,307.10

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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.