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Finding the Fourth Proportional to 21,364, 32,007.10 and 20,897.44

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Solution

The fourth proportional to 21,364, 32,007.10 and 20,897.44 is: 31,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364 : 32,007.10 = 20,897.44 : x
  2. Step 2: Convert to fraction form
    21,364/32,007.10 = 20,897.44/x
  3. Step 3: Cross multiply
    21,364x = 32,007.10 × 20,897.44
  4. Step 4: Simplify right side
    21,364x = 668,866,451.82
  5. Step 5: Solve for x
    x = 668,866,451.82/21,364
  6. Step 6: Final answer
    x = 31,308.11

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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.