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Finding the Fourth Proportional to 4,867.93, 6,715.87 and 2,978.01

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Solution

The fourth proportional to 4,867.93, 6,715.87 and 2,978.01 is: 4,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.93 : 6,715.87 = 2,978.01 : x
  2. Step 2: Convert to fraction form
    4,867.93/6,715.87 = 2,978.01/x
  3. Step 3: Cross multiply
    4,867.93x = 6,715.87 × 2,978.01
  4. Step 4: Simplify right side
    4,867.93x = 19,999,928.02
  5. Step 5: Solve for x
    x = 19,999,928.02/4,867.93
  6. Step 6: Final answer
    x = 4,108.51

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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.