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Finding the Fourth Proportional to 5,225.31, 7,838.98 and 1,938.40

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Solution

The fourth proportional to 5,225.31, 7,838.98 and 1,938.40 is: 2,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.31 : 7,838.98 = 1,938.40 : x
  2. Step 2: Convert to fraction form
    5,225.31/7,838.98 = 1,938.40/x
  3. Step 3: Cross multiply
    5,225.31x = 7,838.98 × 1,938.40
  4. Step 4: Simplify right side
    5,225.31x = 15,195,054.39
  5. Step 5: Solve for x
    x = 15,195,054.39/5,225.31
  6. Step 6: Final answer
    x = 2,907.97

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1.5x scale

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.