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Finding the Fourth Proportional to 21,980.76, 32,971.18 and 10,302.18

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Solution

The fourth proportional to 21,980.76, 32,971.18 and 10,302.18 is: 15,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.76 : 32,971.18 = 10,302.18 : x
  2. Step 2: Convert to fraction form
    21,980.76/32,971.18 = 10,302.18/x
  3. Step 3: Cross multiply
    21,980.76x = 32,971.18 × 10,302.18
  4. Step 4: Simplify right side
    21,980.76x = 339,675,031.17
  5. Step 5: Solve for x
    x = 339,675,031.17/21,980.76
  6. Step 6: Final answer
    x = 15,453.29

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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.