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Finding the Fourth Proportional to 6,646.35, 9,971.71 and 5,666.56

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Solution

The fourth proportional to 6,646.35, 9,971.71 and 5,666.56 is: 8,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.35 : 9,971.71 = 5,666.56 : x
  2. Step 2: Convert to fraction form
    6,646.35/9,971.71 = 5,666.56/x
  3. Step 3: Cross multiply
    6,646.35x = 9,971.71 × 5,666.56
  4. Step 4: Simplify right side
    6,646.35x = 56,505,253.92
  5. Step 5: Solve for x
    x = 56,505,253.92/6,646.35
  6. Step 6: Final answer
    x = 8,501.69

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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.