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Finding the Fourth Proportional to 5,262.81, 7,877.07 and 3,875.60

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Solution

The fourth proportional to 5,262.81, 7,877.07 and 3,875.60 is: 5,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.81 : 7,877.07 = 3,875.60 : x
  2. Step 2: Convert to fraction form
    5,262.81/7,877.07 = 3,875.60/x
  3. Step 3: Cross multiply
    5,262.81x = 7,877.07 × 3,875.60
  4. Step 4: Simplify right side
    5,262.81x = 30,528,333.11
  5. Step 5: Solve for x
    x = 30,528,333.11/5,262.81
  6. Step 6: Final answer
    x = 5,800.77

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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.