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Finding the Fourth Proportional to 6,899.96, 10,281.39 and 6,565.22

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Solution

The fourth proportional to 6,899.96, 10,281.39 and 6,565.22 is: 9,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.96 : 10,281.39 = 6,565.22 : x
  2. Step 2: Convert to fraction form
    6,899.96/10,281.39 = 6,565.22/x
  3. Step 3: Cross multiply
    6,899.96x = 10,281.39 × 6,565.22
  4. Step 4: Simplify right side
    6,899.96x = 67,499,554.43
  5. Step 5: Solve for x
    x = 67,499,554.43/6,899.96
  6. Step 6: Final answer
    x = 9,782.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.