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Finding the Fourth Proportional to 5,370, 7,411.88 and 3,275.88

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Solution

The fourth proportional to 5,370, 7,411.88 and 3,275.88 is: 4,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 7,411.88 = 3,275.88 : x
  2. Step 2: Convert to fraction form
    5,370/7,411.88 = 3,275.88/x
  3. Step 3: Cross multiply
    5,370x = 7,411.88 × 3,275.88
  4. Step 4: Simplify right side
    5,370x = 24,280,429.45
  5. Step 5: Solve for x
    x = 24,280,429.45/5,370
  6. Step 6: Final answer
    x = 4,521.50

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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.