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Finding the Fourth Proportional to 10,666.98, 14,722.61 and 6,685.22

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Solution

The fourth proportional to 10,666.98, 14,722.61 and 6,685.22 is: 9,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.98 : 14,722.61 = 6,685.22 : x
  2. Step 2: Convert to fraction form
    10,666.98/14,722.61 = 6,685.22/x
  3. Step 3: Cross multiply
    10,666.98x = 14,722.61 × 6,685.22
  4. Step 4: Simplify right side
    10,666.98x = 98,423,779.79
  5. Step 5: Solve for x
    x = 98,423,779.79/10,666.98
  6. Step 6: Final answer
    x = 9,226.96

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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.