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Finding the Fourth Proportional to 38,406.80, 52,994.90 and 21,407.30

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Solution

The fourth proportional to 38,406.80, 52,994.90 and 21,407.30 is: 29,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.80 : 52,994.90 = 21,407.30 : x
  2. Step 2: Convert to fraction form
    38,406.80/52,994.90 = 21,407.30/x
  3. Step 3: Cross multiply
    38,406.80x = 52,994.90 × 21,407.30
  4. Step 4: Simplify right side
    38,406.80x = 1,134,477,722.77
  5. Step 5: Solve for x
    x = 1,134,477,722.77/38,406.80
  6. Step 6: Final answer
    x = 29,538.46

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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.