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Finding the Fourth Proportional to 16,213, 22,373.74 and 9,139.48

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Solution

The fourth proportional to 16,213, 22,373.74 and 9,139.48 is: 12,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213 : 22,373.74 = 9,139.48 : x
  2. Step 2: Convert to fraction form
    16,213/22,373.74 = 9,139.48/x
  3. Step 3: Cross multiply
    16,213x = 22,373.74 × 9,139.48
  4. Step 4: Simplify right side
    16,213x = 204,484,349.26
  5. Step 5: Solve for x
    x = 204,484,349.26/16,213
  6. Step 6: Final answer
    x = 12,612.37

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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.