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Finding the Fourth Proportional to 21,785.22, 32,661.90 and 6,985.71

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Solution

The fourth proportional to 21,785.22, 32,661.90 and 6,985.71 is: 10,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.22 : 32,661.90 = 6,985.71 : x
  2. Step 2: Convert to fraction form
    21,785.22/32,661.90 = 6,985.71/x
  3. Step 3: Cross multiply
    21,785.22x = 32,661.90 × 6,985.71
  4. Step 4: Simplify right side
    21,785.22x = 228,166,561.45
  5. Step 5: Solve for x
    x = 228,166,561.45/21,785.22
  6. Step 6: Final answer
    x = 10,473.46

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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.