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Finding the Fourth Proportional to 15,137.86, 20,903.52 and 14,642.14

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Solution

The fourth proportional to 15,137.86, 20,903.52 and 14,642.14 is: 20,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.86 : 20,903.52 = 14,642.14 : x
  2. Step 2: Convert to fraction form
    15,137.86/20,903.52 = 14,642.14/x
  3. Step 3: Cross multiply
    15,137.86x = 20,903.52 × 14,642.14
  4. Step 4: Simplify right side
    15,137.86x = 306,072,266.33
  5. Step 5: Solve for x
    x = 306,072,266.33/15,137.86
  6. Step 6: Final answer
    x = 20,218.99

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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.