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Finding the Fourth Proportional to 38,503.70, 53,133.50 and 21,507.86

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Solution

The fourth proportional to 38,503.70, 53,133.50 and 21,507.86 is: 29,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,503.70 : 53,133.50 = 21,507.86 : x
  2. Step 2: Convert to fraction form
    38,503.70/53,133.50 = 21,507.86/x
  3. Step 3: Cross multiply
    38,503.70x = 53,133.50 × 21,507.86
  4. Step 4: Simplify right side
    38,503.70x = 1,142,787,506.10
  5. Step 5: Solve for x
    x = 1,142,787,506.10/38,503.70
  6. Step 6: Final answer
    x = 29,679.94

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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.