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Finding the Fourth Proportional to 7,160.36, 9,893.18 and 5,659.43

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Solution

The fourth proportional to 7,160.36, 9,893.18 and 5,659.43 is: 7,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.36 : 9,893.18 = 5,659.43 : x
  2. Step 2: Convert to fraction form
    7,160.36/9,893.18 = 5,659.43/x
  3. Step 3: Cross multiply
    7,160.36x = 9,893.18 × 5,659.43
  4. Step 4: Simplify right side
    7,160.36x = 55,989,681.92
  5. Step 5: Solve for x
    x = 55,989,681.92/7,160.36
  6. Step 6: Final answer
    x = 7,819.40

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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.