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Finding the Fourth Proportional to 21,970.84, 32,955.98 and 5,331

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Solution

The fourth proportional to 21,970.84, 32,955.98 and 5,331 is: 7,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.84 : 32,955.98 = 5,331 : x
  2. Step 2: Convert to fraction form
    21,970.84/32,955.98 = 5,331/x
  3. Step 3: Cross multiply
    21,970.84x = 32,955.98 × 5,331
  4. Step 4: Simplify right side
    21,970.84x = 175,688,329.38
  5. Step 5: Solve for x
    x = 175,688,329.38/21,970.84
  6. Step 6: Final answer
    x = 7,996.43

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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.