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Finding the Fourth Proportional to 25,395.60, 38,094.60 and 7,877.70

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Solution

The fourth proportional to 25,395.60, 38,094.60 and 7,877.70 is: 11,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,395.60 : 38,094.60 = 7,877.70 : x
  2. Step 2: Convert to fraction form
    25,395.60/38,094.60 = 7,877.70/x
  3. Step 3: Cross multiply
    25,395.60x = 38,094.60 × 7,877.70
  4. Step 4: Simplify right side
    25,395.60x = 300,097,830.42
  5. Step 5: Solve for x
    x = 300,097,830.42/25,395.60
  6. Step 6: Final answer
    x = 11,816.92

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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.