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Finding the Fourth Proportional to 7,020, 10,538.10 and 3,564.54

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Solution

The fourth proportional to 7,020, 10,538.10 and 3,564.54 is: 5,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020 : 10,538.10 = 3,564.54 : x
  2. Step 2: Convert to fraction form
    7,020/10,538.10 = 3,564.54/x
  3. Step 3: Cross multiply
    7,020x = 10,538.10 × 3,564.54
  4. Step 4: Simplify right side
    7,020x = 37,563,478.97
  5. Step 5: Solve for x
    x = 37,563,478.97/7,020
  6. Step 6: Final answer
    x = 5,350.92

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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.