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Finding the Fourth Proportional to 30,712, 42,383.04 and 19,549.12

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Solution

The fourth proportional to 30,712, 42,383.04 and 19,549.12 is: 26,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712 : 42,383.04 = 19,549.12 : x
  2. Step 2: Convert to fraction form
    30,712/42,383.04 = 19,549.12/x
  3. Step 3: Cross multiply
    30,712x = 42,383.04 × 19,549.12
  4. Step 4: Simplify right side
    30,712x = 828,551,134.92
  5. Step 5: Solve for x
    x = 828,551,134.92/30,712
  6. Step 6: Final answer
    x = 26,978.09

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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.