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Finding the Fourth Proportional to 10,030.84, 13,838.19 and 6,049.74

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Solution

The fourth proportional to 10,030.84, 13,838.19 and 6,049.74 is: 8,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.84 : 13,838.19 = 6,049.74 : x
  2. Step 2: Convert to fraction form
    10,030.84/13,838.19 = 6,049.74/x
  3. Step 3: Cross multiply
    10,030.84x = 13,838.19 × 6,049.74
  4. Step 4: Simplify right side
    10,030.84x = 83,717,451.57
  5. Step 5: Solve for x
    x = 83,717,451.57/10,030.84
  6. Step 6: Final answer
    x = 8,346.01

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