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Finding the Fourth Proportional to 25,641.36, 38,466.36 and 11,790

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Solution

The fourth proportional to 25,641.36, 38,466.36 and 11,790 is: 17,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.36 : 38,466.36 = 11,790 : x
  2. Step 2: Convert to fraction form
    25,641.36/38,466.36 = 11,790/x
  3. Step 3: Cross multiply
    25,641.36x = 38,466.36 × 11,790
  4. Step 4: Simplify right side
    25,641.36x = 453,518,384.40
  5. Step 5: Solve for x
    x = 453,518,384.40/25,641.36
  6. Step 6: Final answer
    x = 17,686.99

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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.