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Finding the Fourth Proportional to 5,122.34, 7,641.07 and 4,971.27

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Solution

The fourth proportional to 5,122.34, 7,641.07 and 4,971.27 is: 7,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.34 : 7,641.07 = 4,971.27 : x
  2. Step 2: Convert to fraction form
    5,122.34/7,641.07 = 4,971.27/x
  3. Step 3: Cross multiply
    5,122.34x = 7,641.07 × 4,971.27
  4. Step 4: Simplify right side
    5,122.34x = 37,985,838.28
  5. Step 5: Solve for x
    x = 37,985,838.28/5,122.34
  6. Step 6: Final answer
    x = 7,415.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.