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Finding the Fourth Proportional to 6,989.67, 9,646.01 and 4,006.08

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Solution

The fourth proportional to 6,989.67, 9,646.01 and 4,006.08 is: 5,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.67 : 9,646.01 = 4,006.08 : x
  2. Step 2: Convert to fraction form
    6,989.67/9,646.01 = 4,006.08/x
  3. Step 3: Cross multiply
    6,989.67x = 9,646.01 × 4,006.08
  4. Step 4: Simplify right side
    6,989.67x = 38,642,687.74
  5. Step 5: Solve for x
    x = 38,642,687.74/6,989.67
  6. Step 6: Final answer
    x = 5,528.54

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1.5x scale

Why These Related Problems?

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