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Finding the Fourth Proportional to 21,988.51, 32,985.87 and 7,198.63

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Solution

The fourth proportional to 21,988.51, 32,985.87 and 7,198.63 is: 10,798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.51 : 32,985.87 = 7,198.63 : x
  2. Step 2: Convert to fraction form
    21,988.51/32,985.87 = 7,198.63/x
  3. Step 3: Cross multiply
    21,988.51x = 32,985.87 × 7,198.63
  4. Step 4: Simplify right side
    21,988.51x = 237,453,073.36
  5. Step 5: Solve for x
    x = 237,453,073.36/21,988.51
  6. Step 6: Final answer
    x = 10,798.96

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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.