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Finding the Fourth Proportional to 7,001.76, 10,500 and 2,070

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Solution

The fourth proportional to 7,001.76, 10,500 and 2,070 is: 3,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.76 : 10,500 = 2,070 : x
  2. Step 2: Convert to fraction form
    7,001.76/10,500 = 2,070/x
  3. Step 3: Cross multiply
    7,001.76x = 10,500 × 2,070
  4. Step 4: Simplify right side
    7,001.76x = 21,735,000
  5. Step 5: Solve for x
    x = 21,735,000/7,001.76
  6. Step 6: Final answer
    x = 3,104.22

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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.