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Finding the Fourth Proportional to 38,429.50, 53,032.71 and 20,765.50

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Solution

The fourth proportional to 38,429.50, 53,032.71 and 20,765.50 is: 28,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,429.50 : 53,032.71 = 20,765.50 : x
  2. Step 2: Convert to fraction form
    38,429.50/53,032.71 = 20,765.50/x
  3. Step 3: Cross multiply
    38,429.50x = 53,032.71 × 20,765.50
  4. Step 4: Simplify right side
    38,429.50x = 1,101,250,739.51
  5. Step 5: Solve for x
    x = 1,101,250,739.51/38,429.50
  6. Step 6: Final answer
    x = 28,656.39

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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.