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Finding the Fourth Proportional to 25,258.40, 37,887.72 and 7,728.20

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Solution

The fourth proportional to 25,258.40, 37,887.72 and 7,728.20 is: 11,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.40 : 37,887.72 = 7,728.20 : x
  2. Step 2: Convert to fraction form
    25,258.40/37,887.72 = 7,728.20/x
  3. Step 3: Cross multiply
    25,258.40x = 37,887.72 × 7,728.20
  4. Step 4: Simplify right side
    25,258.40x = 292,803,877.70
  5. Step 5: Solve for x
    x = 292,803,877.70/25,258.40
  6. Step 6: Final answer
    x = 11,592.34

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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.