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Finding the Fourth Proportional to 21,534.16, 29,713.92 and 12,100.92

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Solution

The fourth proportional to 21,534.16, 29,713.92 and 12,100.92 is: 16,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.16 : 29,713.92 = 12,100.92 : x
  2. Step 2: Convert to fraction form
    21,534.16/29,713.92 = 12,100.92/x
  3. Step 3: Cross multiply
    21,534.16x = 29,713.92 × 12,100.92
  4. Step 4: Simplify right side
    21,534.16x = 359,565,768.81
  5. Step 5: Solve for x
    x = 359,565,768.81/21,534.16
  6. Step 6: Final answer
    x = 16,697.46

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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.