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Finding the Fourth Proportional to 25,641, 38,462.67 and 7,870.37

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Solution

The fourth proportional to 25,641, 38,462.67 and 7,870.37 is: 11,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641 : 38,462.67 = 7,870.37 : x
  2. Step 2: Convert to fraction form
    25,641/38,462.67 = 7,870.37/x
  3. Step 3: Cross multiply
    25,641x = 38,462.67 × 7,870.37
  4. Step 4: Simplify right side
    25,641x = 302,715,251.77
  5. Step 5: Solve for x
    x = 302,715,251.77/25,641
  6. Step 6: Final answer
    x = 11,805.91

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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.