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Finding the Fourth Proportional to 30,027.50, 45,041.25 and 8,139.50

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Solution

The fourth proportional to 30,027.50, 45,041.25 and 8,139.50 is: 12,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027.50 : 45,041.25 = 8,139.50 : x
  2. Step 2: Convert to fraction form
    30,027.50/45,041.25 = 8,139.50/x
  3. Step 3: Cross multiply
    30,027.50x = 45,041.25 × 8,139.50
  4. Step 4: Simplify right side
    30,027.50x = 366,613,254.38
  5. Step 5: Solve for x
    x = 366,613,254.38/30,027.50
  6. Step 6: Final answer
    x = 12,209.25

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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.