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Finding the Fourth Proportional to 30,025.50, 45,038.88 and 9,249

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Solution

The fourth proportional to 30,025.50, 45,038.88 and 9,249 is: 13,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,025.50 : 45,038.88 = 9,249 : x
  2. Step 2: Convert to fraction form
    30,025.50/45,038.88 = 9,249/x
  3. Step 3: Cross multiply
    30,025.50x = 45,038.88 × 9,249
  4. Step 4: Simplify right side
    30,025.50x = 416,564,601.12
  5. Step 5: Solve for x
    x = 416,564,601.12/30,025.50
  6. Step 6: Final answer
    x = 13,873.69

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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.