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Finding the Fourth Proportional to 10,347.15, 14,278.89 and 5,871.80

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Solution

The fourth proportional to 10,347.15, 14,278.89 and 5,871.80 is: 8,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.15 : 14,278.89 = 5,871.80 : x
  2. Step 2: Convert to fraction form
    10,347.15/14,278.89 = 5,871.80/x
  3. Step 3: Cross multiply
    10,347.15x = 14,278.89 × 5,871.80
  4. Step 4: Simplify right side
    10,347.15x = 83,842,714.91
  5. Step 5: Solve for x
    x = 83,842,714.91/10,347.15
  6. Step 6: Final answer
    x = 8,102.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.