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Finding the Fourth Proportional to 21,598.92, 32,325.22 and 13,284.21

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Solution

The fourth proportional to 21,598.92, 32,325.22 and 13,284.21 is: 19,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.92 : 32,325.22 = 13,284.21 : x
  2. Step 2: Convert to fraction form
    21,598.92/32,325.22 = 13,284.21/x
  3. Step 3: Cross multiply
    21,598.92x = 32,325.22 × 13,284.21
  4. Step 4: Simplify right side
    21,598.92x = 429,415,010.78
  5. Step 5: Solve for x
    x = 429,415,010.78/21,598.92
  6. Step 6: Final answer
    x = 19,881.32

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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.