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Finding the Fourth Proportional to 30,580, 45,876.59 and 9,519.60

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Solution

The fourth proportional to 30,580, 45,876.59 and 9,519.60 is: 14,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580 : 45,876.59 = 9,519.60 : x
  2. Step 2: Convert to fraction form
    30,580/45,876.59 = 9,519.60/x
  3. Step 3: Cross multiply
    30,580x = 45,876.59 × 9,519.60
  4. Step 4: Simplify right side
    30,580x = 436,726,786.16
  5. Step 5: Solve for x
    x = 436,726,786.16/30,580
  6. Step 6: Final answer
    x = 14,281.45

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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.