Home / 7,838.94-11,743-4,545.10

Finding the Fourth Proportional to 7,838.94, 11,743 and 4,545.10

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Solution

The fourth proportional to 7,838.94, 11,743 and 4,545.10 is: 6,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.94 : 11,743 = 4,545.10 : x
  2. Step 2: Convert to fraction form
    7,838.94/11,743 = 4,545.10/x
  3. Step 3: Cross multiply
    7,838.94x = 11,743 × 4,545.10
  4. Step 4: Simplify right side
    7,838.94x = 53,373,109.30
  5. Step 5: Solve for x
    x = 53,373,109.30/7,838.94
  6. Step 6: Final answer
    x = 6,808.72

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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.