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Finding the Fourth Proportional to 30,058.49, 45,098.10 and 13,430.00

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Solution

The fourth proportional to 30,058.49, 45,098.10 and 13,430.00 is: 20,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058.49 : 45,098.10 = 13,430.00 : x
  2. Step 2: Convert to fraction form
    30,058.49/45,098.10 = 13,430.00/x
  3. Step 3: Cross multiply
    30,058.49x = 45,098.10 × 13,430.00
  4. Step 4: Simplify right side
    30,058.49x = 605,667,595.75
  5. Step 5: Solve for x
    x = 605,667,595.75/30,058.49
  6. Step 6: Final answer
    x = 20,149.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.