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Finding the Fourth Proportional to 7,041.94, 9,718.18 and 3,898.13

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Solution

The fourth proportional to 7,041.94, 9,718.18 and 3,898.13 is: 5,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.94 : 9,718.18 = 3,898.13 : x
  2. Step 2: Convert to fraction form
    7,041.94/9,718.18 = 3,898.13/x
  3. Step 3: Cross multiply
    7,041.94x = 9,718.18 × 3,898.13
  4. Step 4: Simplify right side
    7,041.94x = 37,882,670.67
  5. Step 5: Solve for x
    x = 37,882,670.67/7,041.94
  6. Step 6: Final answer
    x = 5,379.58

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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.