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Finding the Fourth Proportional to 21,510, 29,683.80 and 12,078.57

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Solution

The fourth proportional to 21,510, 29,683.80 and 12,078.57 is: 16,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510 : 29,683.80 = 12,078.57 : x
  2. Step 2: Convert to fraction form
    21,510/29,683.80 = 12,078.57/x
  3. Step 3: Cross multiply
    21,510x = 29,683.80 × 12,078.57
  4. Step 4: Simplify right side
    21,510x = 358,537,856.17
  5. Step 5: Solve for x
    x = 358,537,856.17/21,510
  6. Step 6: Final answer
    x = 16,668.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.