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Finding the Fourth Proportional to 25,409.26, 38,117.93 and 7,875.46

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Solution

The fourth proportional to 25,409.26, 38,117.93 and 7,875.46 is: 11,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409.26 : 38,117.93 = 7,875.46 : x
  2. Step 2: Convert to fraction form
    25,409.26/38,117.93 = 7,875.46/x
  3. Step 3: Cross multiply
    25,409.26x = 38,117.93 × 7,875.46
  4. Step 4: Simplify right side
    25,409.26x = 300,196,233.00
  5. Step 5: Solve for x
    x = 300,196,233.00/25,409.26
  6. Step 6: Final answer
    x = 11,814.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.