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Finding the Fourth Proportional to 25,643.58, 38,468.44 and 7,871.91

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Solution

The fourth proportional to 25,643.58, 38,468.44 and 7,871.91 is: 11,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.58 : 38,468.44 = 7,871.91 : x
  2. Step 2: Convert to fraction form
    25,643.58/38,468.44 = 7,871.91/x
  3. Step 3: Cross multiply
    25,643.58x = 38,468.44 × 7,871.91
  4. Step 4: Simplify right side
    25,643.58x = 302,819,865.82
  5. Step 5: Solve for x
    x = 302,819,865.82/25,643.58
  6. Step 6: Final answer
    x = 11,808.80

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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.