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Finding the Fourth Proportional to 30,405.12, 45,607.68 and 9,627

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Solution

The fourth proportional to 30,405.12, 45,607.68 and 9,627 is: 14,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,405.12 : 45,607.68 = 9,627 : x
  2. Step 2: Convert to fraction form
    30,405.12/45,607.68 = 9,627/x
  3. Step 3: Cross multiply
    30,405.12x = 45,607.68 × 9,627
  4. Step 4: Simplify right side
    30,405.12x = 439,065,135.36
  5. Step 5: Solve for x
    x = 439,065,135.36/30,405.12
  6. Step 6: Final answer
    x = 14,440.50

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1.5x scale

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.