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Finding the Fourth Proportional to 13,810, 19,058.12 and 7,840.72

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Solution

The fourth proportional to 13,810, 19,058.12 and 7,840.72 is: 10,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810 : 19,058.12 = 7,840.72 : x
  2. Step 2: Convert to fraction form
    13,810/19,058.12 = 7,840.72/x
  3. Step 3: Cross multiply
    13,810x = 19,058.12 × 7,840.72
  4. Step 4: Simplify right side
    13,810x = 149,429,382.65
  5. Step 5: Solve for x
    x = 149,429,382.65/13,810
  6. Step 6: Final answer
    x = 10,820.38

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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.