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Finding the Fourth Proportional to 38,690.90, 53,404.52 and 22,784.58

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Solution

The fourth proportional to 38,690.90, 53,404.52 and 22,784.58 is: 31,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,690.90 : 53,404.52 = 22,784.58 : x
  2. Step 2: Convert to fraction form
    38,690.90/53,404.52 = 22,784.58/x
  3. Step 3: Cross multiply
    38,690.90x = 53,404.52 × 22,784.58
  4. Step 4: Simplify right side
    38,690.90x = 1,216,799,444.38
  5. Step 5: Solve for x
    x = 1,216,799,444.38/38,690.90
  6. Step 6: Final answer
    x = 31,449.25

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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.