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Finding the Fourth Proportional to 15,649.76, 21,606 and 13,900.16

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Solution

The fourth proportional to 15,649.76, 21,606 and 13,900.16 is: 19,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.76 : 21,606 = 13,900.16 : x
  2. Step 2: Convert to fraction form
    15,649.76/21,606 = 13,900.16/x
  3. Step 3: Cross multiply
    15,649.76x = 21,606 × 13,900.16
  4. Step 4: Simplify right side
    15,649.76x = 300,326,856.96
  5. Step 5: Solve for x
    x = 300,326,856.96/15,649.76
  6. Step 6: Final answer
    x = 19,190.51

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1.5x scale

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.