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Finding the Fourth Proportional to 21,196, 29,250.48 and 12,812.50

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Solution

The fourth proportional to 21,196, 29,250.48 and 12,812.50 is: 17,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196 : 29,250.48 = 12,812.50 : x
  2. Step 2: Convert to fraction form
    21,196/29,250.48 = 12,812.50/x
  3. Step 3: Cross multiply
    21,196x = 29,250.48 × 12,812.50
  4. Step 4: Simplify right side
    21,196x = 374,771,775
  5. Step 5: Solve for x
    x = 374,771,775/21,196
  6. Step 6: Final answer
    x = 17,681.25

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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.