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Finding the Fourth Proportional to 21,253, 31,880.63 and 6,460.79

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Solution

The fourth proportional to 21,253, 31,880.63 and 6,460.79 is: 9,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253 : 31,880.63 = 6,460.79 : x
  2. Step 2: Convert to fraction form
    21,253/31,880.63 = 6,460.79/x
  3. Step 3: Cross multiply
    21,253x = 31,880.63 × 6,460.79
  4. Step 4: Simplify right side
    21,253x = 205,974,055.50
  5. Step 5: Solve for x
    x = 205,974,055.50/21,253
  6. Step 6: Final answer
    x = 9,691.53

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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.