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Finding the Fourth Proportional to 4,871.80, 7,308.24 and 1,948.51

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Solution

The fourth proportional to 4,871.80, 7,308.24 and 1,948.51 is: 2,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.80 : 7,308.24 = 1,948.51 : x
  2. Step 2: Convert to fraction form
    4,871.80/7,308.24 = 1,948.51/x
  3. Step 3: Cross multiply
    4,871.80x = 7,308.24 × 1,948.51
  4. Step 4: Simplify right side
    4,871.80x = 14,240,178.72
  5. Step 5: Solve for x
    x = 14,240,178.72/4,871.80
  6. Step 6: Final answer
    x = 2,922.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.