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Finding the Fourth Proportional to 7,001.51, 10,503.80 and 5,147

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Solution

The fourth proportional to 7,001.51, 10,503.80 and 5,147 is: 7,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.51 : 10,503.80 = 5,147 : x
  2. Step 2: Convert to fraction form
    7,001.51/10,503.80 = 5,147/x
  3. Step 3: Cross multiply
    7,001.51x = 10,503.80 × 5,147
  4. Step 4: Simplify right side
    7,001.51x = 54,063,058.60
  5. Step 5: Solve for x
    x = 54,063,058.60/7,001.51
  6. Step 6: Final answer
    x = 7,721.63

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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.