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Finding the Fourth Proportional to 25,681.58, 38,526 and 7,913.68

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Solution

The fourth proportional to 25,681.58, 38,526 and 7,913.68 is: 11,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,681.58 : 38,526 = 7,913.68 : x
  2. Step 2: Convert to fraction form
    25,681.58/38,526 = 7,913.68/x
  3. Step 3: Cross multiply
    25,681.58x = 38,526 × 7,913.68
  4. Step 4: Simplify right side
    25,681.58x = 304,882,435.68
  5. Step 5: Solve for x
    x = 304,882,435.68/25,681.58
  6. Step 6: Final answer
    x = 11,871.64

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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.