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Finding the Fourth Proportional to 5,706.89, 7,893 and 5,117.21

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Solution

The fourth proportional to 5,706.89, 7,893 and 5,117.21 is: 7,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.89 : 7,893 = 5,117.21 : x
  2. Step 2: Convert to fraction form
    5,706.89/7,893 = 5,117.21/x
  3. Step 3: Cross multiply
    5,706.89x = 7,893 × 5,117.21
  4. Step 4: Simplify right side
    5,706.89x = 40,390,099.07
  5. Step 5: Solve for x
    x = 40,390,099.07/5,706.89
  6. Step 6: Final answer
    x = 7,077.43

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Half scale
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Double scale
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1.5x scale

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.