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Finding the Fourth Proportional to 4,978.16, 6,868.76 and 2,881.07

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Solution

The fourth proportional to 4,978.16, 6,868.76 and 2,881.07 is: 3,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.16 : 6,868.76 = 2,881.07 : x
  2. Step 2: Convert to fraction form
    4,978.16/6,868.76 = 2,881.07/x
  3. Step 3: Cross multiply
    4,978.16x = 6,868.76 × 2,881.07
  4. Step 4: Simplify right side
    4,978.16x = 19,789,374.77
  5. Step 5: Solve for x
    x = 19,789,374.77/4,978.16
  6. Step 6: Final answer
    x = 3,975.24

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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.