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Finding the Fourth Proportional to 38,464.80, 53,078.40 and 21,700.80

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Solution

The fourth proportional to 38,464.80, 53,078.40 and 21,700.80 is: 29,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.80 : 53,078.40 = 21,700.80 : x
  2. Step 2: Convert to fraction form
    38,464.80/53,078.40 = 21,700.80/x
  3. Step 3: Cross multiply
    38,464.80x = 53,078.40 × 21,700.80
  4. Step 4: Simplify right side
    38,464.80x = 1,151,843,742.72
  5. Step 5: Solve for x
    x = 1,151,843,742.72/38,464.80
  6. Step 6: Final answer
    x = 29,945.40

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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.