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Finding the Fourth Proportional to 10,955.80, 16,412.10 and 6,560.20

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Solution

The fourth proportional to 10,955.80, 16,412.10 and 6,560.20 is: 9,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.80 : 16,412.10 = 6,560.20 : x
  2. Step 2: Convert to fraction form
    10,955.80/16,412.10 = 6,560.20/x
  3. Step 3: Cross multiply
    10,955.80x = 16,412.10 × 6,560.20
  4. Step 4: Simplify right side
    10,955.80x = 107,666,658.42
  5. Step 5: Solve for x
    x = 107,666,658.42/10,955.80
  6. Step 6: Final answer
    x = 9,827.37

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1.5x scale

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.