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Finding the Fourth Proportional to 21,210, 29,269.80 and 12,378

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Solution

The fourth proportional to 21,210, 29,269.80 and 12,378 is: 17,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,210 : 29,269.80 = 12,378 : x
  2. Step 2: Convert to fraction form
    21,210/29,269.80 = 12,378/x
  3. Step 3: Cross multiply
    21,210x = 29,269.80 × 12,378
  4. Step 4: Simplify right side
    21,210x = 362,301,584.40
  5. Step 5: Solve for x
    x = 362,301,584.40/21,210
  6. Step 6: Final answer
    x = 17,081.64

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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.