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Finding the Fourth Proportional to 5,685.36, 7,838.16 and 5,102.16

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Solution

The fourth proportional to 5,685.36, 7,838.16 and 5,102.16 is: 7,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.36 : 7,838.16 = 5,102.16 : x
  2. Step 2: Convert to fraction form
    5,685.36/7,838.16 = 5,102.16/x
  3. Step 3: Cross multiply
    5,685.36x = 7,838.16 × 5,102.16
  4. Step 4: Simplify right side
    5,685.36x = 39,991,546.43
  5. Step 5: Solve for x
    x = 39,991,546.43/5,685.36
  6. Step 6: Final answer
    x = 7,034.13

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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.