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Finding the Fourth Proportional to 18,996, 28,482.96 and 7,890

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Solution

The fourth proportional to 18,996, 28,482.96 and 7,890 is: 11,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,996 : 28,482.96 = 7,890 : x
  2. Step 2: Convert to fraction form
    18,996/28,482.96 = 7,890/x
  3. Step 3: Cross multiply
    18,996x = 28,482.96 × 7,890
  4. Step 4: Simplify right side
    18,996x = 224,730,554.40
  5. Step 5: Solve for x
    x = 224,730,554.40/18,996
  6. Step 6: Final answer
    x = 11,830.41

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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.