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Finding the Fourth Proportional to 38,289, 52,840.40 and 21,293.16

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Solution

The fourth proportional to 38,289, 52,840.40 and 21,293.16 is: 29,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289 : 52,840.40 = 21,293.16 : x
  2. Step 2: Convert to fraction form
    38,289/52,840.40 = 21,293.16/x
  3. Step 3: Cross multiply
    38,289x = 52,840.40 × 21,293.16
  4. Step 4: Simplify right side
    38,289x = 1,125,139,091.66
  5. Step 5: Solve for x
    x = 1,125,139,091.66/38,289
  6. Step 6: Final answer
    x = 29,385.44

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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.