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Finding the Fourth Proportional to 4,973.78, 6,863.06 and 2,877.50

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Solution

The fourth proportional to 4,973.78, 6,863.06 and 2,877.50 is: 3,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.78 : 6,863.06 = 2,877.50 : x
  2. Step 2: Convert to fraction form
    4,973.78/6,863.06 = 2,877.50/x
  3. Step 3: Cross multiply
    4,973.78x = 6,863.06 × 2,877.50
  4. Step 4: Simplify right side
    4,973.78x = 19,748,455.15
  5. Step 5: Solve for x
    x = 19,748,455.15/4,973.78
  6. Step 6: Final answer
    x = 3,970.51

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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.