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Finding the Fourth Proportional to 4,978.64, 6,868.78 and 3,088.25

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Solution

The fourth proportional to 4,978.64, 6,868.78 and 3,088.25 is: 4,260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.64 : 6,868.78 = 3,088.25 : x
  2. Step 2: Convert to fraction form
    4,978.64/6,868.78 = 3,088.25/x
  3. Step 3: Cross multiply
    4,978.64x = 6,868.78 × 3,088.25
  4. Step 4: Simplify right side
    4,978.64x = 21,212,509.84
  5. Step 5: Solve for x
    x = 21,212,509.84/4,978.64
  6. Step 6: Final answer
    x = 4,260.70

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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.