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Finding the Fourth Proportional to 10,187.39, 14,058 and 5,710.32

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Solution

The fourth proportional to 10,187.39, 14,058 and 5,710.32 is: 7,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.39 : 14,058 = 5,710.32 : x
  2. Step 2: Convert to fraction form
    10,187.39/14,058 = 5,710.32/x
  3. Step 3: Cross multiply
    10,187.39x = 14,058 × 5,710.32
  4. Step 4: Simplify right side
    10,187.39x = 80,275,678.56
  5. Step 5: Solve for x
    x = 80,275,678.56/10,187.39
  6. Step 6: Final answer
    x = 7,879.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.