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Finding the Fourth Proportional to 5,157.86, 7,117.86 and 2,800.00

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Solution

The fourth proportional to 5,157.86, 7,117.86 and 2,800.00 is: 3,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.86 : 7,117.86 = 2,800.00 : x
  2. Step 2: Convert to fraction form
    5,157.86/7,117.86 = 2,800.00/x
  3. Step 3: Cross multiply
    5,157.86x = 7,117.86 × 2,800.00
  4. Step 4: Simplify right side
    5,157.86x = 19,929,995.46
  5. Step 5: Solve for x
    x = 19,929,995.46/5,157.86
  6. Step 6: Final answer
    x = 3,864.01

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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.