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Finding the Fourth Proportional to 21,503.66, 32,257.54 and 8,357.06

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Solution

The fourth proportional to 21,503.66, 32,257.54 and 8,357.06 is: 12,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.66 : 32,257.54 = 8,357.06 : x
  2. Step 2: Convert to fraction form
    21,503.66/32,257.54 = 8,357.06/x
  3. Step 3: Cross multiply
    21,503.66x = 32,257.54 × 8,357.06
  4. Step 4: Simplify right side
    21,503.66x = 269,578,197.23
  5. Step 5: Solve for x
    x = 269,578,197.23/21,503.66
  6. Step 6: Final answer
    x = 12,536.39

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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.