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Finding the Fourth Proportional to 30,406.12, 45,609.18 and 9,628

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Solution

The fourth proportional to 30,406.12, 45,609.18 and 9,628 is: 14,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.12 : 45,609.18 = 9,628 : x
  2. Step 2: Convert to fraction form
    30,406.12/45,609.18 = 9,628/x
  3. Step 3: Cross multiply
    30,406.12x = 45,609.18 × 9,628
  4. Step 4: Simplify right side
    30,406.12x = 439,125,185.04
  5. Step 5: Solve for x
    x = 439,125,185.04/30,406.12
  6. Step 6: Final answer
    x = 14,442.00

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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.