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Finding the Fourth Proportional to 29,484.64, 40,638 and 21,812.32

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Solution

The fourth proportional to 29,484.64, 40,638 and 21,812.32 is: 30,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484.64 : 40,638 = 21,812.32 : x
  2. Step 2: Convert to fraction form
    29,484.64/40,638 = 21,812.32/x
  3. Step 3: Cross multiply
    29,484.64x = 40,638 × 21,812.32
  4. Step 4: Simplify right side
    29,484.64x = 886,409,060.16
  5. Step 5: Solve for x
    x = 886,409,060.16/29,484.64
  6. Step 6: Final answer
    x = 30,063.42

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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.