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Finding the Fourth Proportional to 30,412.98, 45,619.00 and 9,353.30

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Solution

The fourth proportional to 30,412.98, 45,619.00 and 9,353.30 is: 14,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.98 : 45,619.00 = 9,353.30 : x
  2. Step 2: Convert to fraction form
    30,412.98/45,619.00 = 9,353.30/x
  3. Step 3: Cross multiply
    30,412.98x = 45,619.00 × 9,353.30
  4. Step 4: Simplify right side
    30,412.98x = 426,687,941.22
  5. Step 5: Solve for x
    x = 426,687,941.22/30,412.98
  6. Step 6: Final answer
    x = 14,029.80

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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.