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Finding the Fourth Proportional to 10,101.42, 13,932.81 and 8,213.01

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Solution

The fourth proportional to 10,101.42, 13,932.81 and 8,213.01 is: 11,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.42 : 13,932.81 = 8,213.01 : x
  2. Step 2: Convert to fraction form
    10,101.42/13,932.81 = 8,213.01/x
  3. Step 3: Cross multiply
    10,101.42x = 13,932.81 × 8,213.01
  4. Step 4: Simplify right side
    10,101.42x = 114,430,307.86
  5. Step 5: Solve for x
    x = 114,430,307.86/10,101.42
  6. Step 6: Final answer
    x = 11,328.14

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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.