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Finding the Fourth Proportional to 7,058, 10,587.24 and 2,127.80

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Solution

The fourth proportional to 7,058, 10,587.24 and 2,127.80 is: 3,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058 : 10,587.24 = 2,127.80 : x
  2. Step 2: Convert to fraction form
    7,058/10,587.24 = 2,127.80/x
  3. Step 3: Cross multiply
    7,058x = 10,587.24 × 2,127.80
  4. Step 4: Simplify right side
    7,058x = 22,527,529.27
  5. Step 5: Solve for x
    x = 22,527,529.27/7,058
  6. Step 6: Final answer
    x = 3,191.77

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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.