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Finding the Fourth Proportional to 5,157.94, 7,117.94 and 2,800.06

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Solution

The fourth proportional to 5,157.94, 7,117.94 and 2,800.06 is: 3,864.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.94 : 7,117.94 = 2,800.06 : x
  2. Step 2: Convert to fraction form
    5,157.94/7,117.94 = 2,800.06/x
  3. Step 3: Cross multiply
    5,157.94x = 7,117.94 × 2,800.06
  4. Step 4: Simplify right side
    5,157.94x = 19,930,659.22
  5. Step 5: Solve for x
    x = 19,930,659.22/5,157.94
  6. Step 6: Final answer
    x = 3,864.08

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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.