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Finding the Fourth Proportional to 21,062, 31,588.74 and 7,730.46

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Solution

The fourth proportional to 21,062, 31,588.74 and 7,730.46 is: 11,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062 : 31,588.74 = 7,730.46 : x
  2. Step 2: Convert to fraction form
    21,062/31,588.74 = 7,730.46/x
  3. Step 3: Cross multiply
    21,062x = 31,588.74 × 7,730.46
  4. Step 4: Simplify right side
    21,062x = 244,195,491.02
  5. Step 5: Solve for x
    x = 244,195,491.02/21,062
  6. Step 6: Final answer
    x = 11,594.13

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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.