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Finding the Fourth Proportional to 25,888.96, 35,730.60 and 15,823.20

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Solution

The fourth proportional to 25,888.96, 35,730.60 and 15,823.20 is: 21,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,888.96 : 35,730.60 = 15,823.20 : x
  2. Step 2: Convert to fraction form
    25,888.96/35,730.60 = 15,823.20/x
  3. Step 3: Cross multiply
    25,888.96x = 35,730.60 × 15,823.20
  4. Step 4: Simplify right side
    25,888.96x = 565,372,429.92
  5. Step 5: Solve for x
    x = 565,372,429.92/25,888.96
  6. Step 6: Final answer
    x = 21,838.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.