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Finding the Fourth Proportional to 13,840, 19,085.52 and 9,061.36

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Solution

The fourth proportional to 13,840, 19,085.52 and 9,061.36 is: 12,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 19,085.52 = 9,061.36 : x
  2. Step 2: Convert to fraction form
    13,840/19,085.52 = 9,061.36/x
  3. Step 3: Cross multiply
    13,840x = 19,085.52 × 9,061.36
  4. Step 4: Simplify right side
    13,840x = 172,940,767.51
  5. Step 5: Solve for x
    x = 172,940,767.51/13,840
  6. Step 6: Final answer
    x = 12,495.72

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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.