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Finding the Fourth Proportional to 6,989.65, 9,646.04 and 4,337.91

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Solution

The fourth proportional to 6,989.65, 9,646.04 and 4,337.91 is: 5,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.65 : 9,646.04 = 4,337.91 : x
  2. Step 2: Convert to fraction form
    6,989.65/9,646.04 = 4,337.91/x
  3. Step 3: Cross multiply
    6,989.65x = 9,646.04 × 4,337.91
  4. Step 4: Simplify right side
    6,989.65x = 41,843,664.22
  5. Step 5: Solve for x
    x = 41,843,664.22/6,989.65
  6. Step 6: Final answer
    x = 5,986.52

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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.