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Finding the Fourth Proportional to 5,412, 7,465.56 and 3,730.44

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Solution

The fourth proportional to 5,412, 7,465.56 and 3,730.44 is: 5,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412 : 7,465.56 = 3,730.44 : x
  2. Step 2: Convert to fraction form
    5,412/7,465.56 = 3,730.44/x
  3. Step 3: Cross multiply
    5,412x = 7,465.56 × 3,730.44
  4. Step 4: Simplify right side
    5,412x = 27,849,823.65
  5. Step 5: Solve for x
    x = 27,849,823.65/5,412
  6. Step 6: Final answer
    x = 5,145.94

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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.