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Finding the Fourth Proportional to 51,428.40, 77,127.48 and 21,846

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Solution

The fourth proportional to 51,428.40, 77,127.48 and 21,846 is: 32,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428.40 : 77,127.48 = 21,846 : x
  2. Step 2: Convert to fraction form
    51,428.40/77,127.48 = 21,846/x
  3. Step 3: Cross multiply
    51,428.40x = 77,127.48 × 21,846
  4. Step 4: Simplify right side
    51,428.40x = 1,684,926,928.08
  5. Step 5: Solve for x
    x = 1,684,926,928.08/51,428.40
  6. Step 6: Final answer
    x = 32,762.58

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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.