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Finding the Fourth Proportional to 14,058, 19,400.04 and 8,470.08

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Solution

The fourth proportional to 14,058, 19,400.04 and 8,470.08 is: 11,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058 : 19,400.04 = 8,470.08 : x
  2. Step 2: Convert to fraction form
    14,058/19,400.04 = 8,470.08/x
  3. Step 3: Cross multiply
    14,058x = 19,400.04 × 8,470.08
  4. Step 4: Simplify right side
    14,058x = 164,319,890.80
  5. Step 5: Solve for x
    x = 164,319,890.80/14,058
  6. Step 6: Final answer
    x = 11,688.71

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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.