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Finding the Fourth Proportional to 5,705.70, 7,814.78 and 5,369.40

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Solution

The fourth proportional to 5,705.70, 7,814.78 and 5,369.40 is: 7,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.70 : 7,814.78 = 5,369.40 : x
  2. Step 2: Convert to fraction form
    5,705.70/7,814.78 = 5,369.40/x
  3. Step 3: Cross multiply
    5,705.70x = 7,814.78 × 5,369.40
  4. Step 4: Simplify right side
    5,705.70x = 41,960,652.89
  5. Step 5: Solve for x
    x = 41,960,652.89/5,705.70
  6. Step 6: Final answer
    x = 7,354.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.