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Finding the Fourth Proportional to 16,102.40, 22,213.12 and 9,477.12

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Solution

The fourth proportional to 16,102.40, 22,213.12 and 9,477.12 is: 13,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.40 : 22,213.12 = 9,477.12 : x
  2. Step 2: Convert to fraction form
    16,102.40/22,213.12 = 9,477.12/x
  3. Step 3: Cross multiply
    16,102.40x = 22,213.12 × 9,477.12
  4. Step 4: Simplify right side
    16,102.40x = 210,516,403.81
  5. Step 5: Solve for x
    x = 210,516,403.81/16,102.40
  6. Step 6: Final answer
    x = 13,073.60

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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.