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Finding the Fourth Proportional to 15,280, 22,922.88 and 7,072

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Solution

The fourth proportional to 15,280, 22,922.88 and 7,072 is: 10,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,280 : 22,922.88 = 7,072 : x
  2. Step 2: Convert to fraction form
    15,280/22,922.88 = 7,072/x
  3. Step 3: Cross multiply
    15,280x = 22,922.88 × 7,072
  4. Step 4: Simplify right side
    15,280x = 162,110,607.36
  5. Step 5: Solve for x
    x = 162,110,607.36/15,280
  6. Step 6: Final answer
    x = 10,609.33

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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.