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Finding the Fourth Proportional to 9,871.80, 14,807.88 and 2,852.34

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Solution

The fourth proportional to 9,871.80, 14,807.88 and 2,852.34 is: 4,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.80 : 14,807.88 = 2,852.34 : x
  2. Step 2: Convert to fraction form
    9,871.80/14,807.88 = 2,852.34/x
  3. Step 3: Cross multiply
    9,871.80x = 14,807.88 × 2,852.34
  4. Step 4: Simplify right side
    9,871.80x = 42,237,108.44
  5. Step 5: Solve for x
    x = 42,237,108.44/9,871.80
  6. Step 6: Final answer
    x = 4,278.56

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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.