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Finding the Fourth Proportional to 25,345, 38,017.65 and 6,877

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Solution

The fourth proportional to 25,345, 38,017.65 and 6,877 is: 10,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,345 : 38,017.65 = 6,877 : x
  2. Step 2: Convert to fraction form
    25,345/38,017.65 = 6,877/x
  3. Step 3: Cross multiply
    25,345x = 38,017.65 × 6,877
  4. Step 4: Simplify right side
    25,345x = 261,447,379.05
  5. Step 5: Solve for x
    x = 261,447,379.05/25,345
  6. Step 6: Final answer
    x = 10,315.54

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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.