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Finding the Fourth Proportional to 10,571.98, 15,771.87 and 9,714.80

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Solution

The fourth proportional to 10,571.98, 15,771.87 and 9,714.80 is: 14,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.98 : 15,771.87 = 9,714.80 : x
  2. Step 2: Convert to fraction form
    10,571.98/15,771.87 = 9,714.80/x
  3. Step 3: Cross multiply
    10,571.98x = 15,771.87 × 9,714.80
  4. Step 4: Simplify right side
    10,571.98x = 153,220,562.68
  5. Step 5: Solve for x
    x = 153,220,562.68/10,571.98
  6. Step 6: Final answer
    x = 14,493.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.