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Finding the Fourth Proportional to 5,730, 7,907.40 and 3,246

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Solution

The fourth proportional to 5,730, 7,907.40 and 3,246 is: 4,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730 : 7,907.40 = 3,246 : x
  2. Step 2: Convert to fraction form
    5,730/7,907.40 = 3,246/x
  3. Step 3: Cross multiply
    5,730x = 7,907.40 × 3,246
  4. Step 4: Simplify right side
    5,730x = 25,667,420.40
  5. Step 5: Solve for x
    x = 25,667,420.40/5,730
  6. Step 6: Final answer
    x = 4,479.48

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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.