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Finding the Fourth Proportional to 25,880.30, 38,828.64 and 9,239.96

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Solution

The fourth proportional to 25,880.30, 38,828.64 and 9,239.96 is: 13,862.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.30 : 38,828.64 = 9,239.96 : x
  2. Step 2: Convert to fraction form
    25,880.30/38,828.64 = 9,239.96/x
  3. Step 3: Cross multiply
    25,880.30x = 38,828.64 × 9,239.96
  4. Step 4: Simplify right side
    25,880.30x = 358,774,886.31
  5. Step 5: Solve for x
    x = 358,774,886.31/25,880.30
  6. Step 6: Final answer
    x = 13,862.86

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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.