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Finding the Fourth Proportional to 21,047.14, 29,048.81 and 12,549.81

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Solution

The fourth proportional to 21,047.14, 29,048.81 and 12,549.81 is: 17,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.14 : 29,048.81 = 12,549.81 : x
  2. Step 2: Convert to fraction form
    21,047.14/29,048.81 = 12,549.81/x
  3. Step 3: Cross multiply
    21,047.14x = 29,048.81 × 12,549.81
  4. Step 4: Simplify right side
    21,047.14x = 364,556,968.67
  5. Step 5: Solve for x
    x = 364,556,968.67/21,047.14
  6. Step 6: Final answer
    x = 17,320.98

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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.