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Finding the Fourth Proportional to 30,214.54, 45,322.49 and 8,030.16

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Solution

The fourth proportional to 30,214.54, 45,322.49 and 8,030.16 is: 12,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.54 : 45,322.49 = 8,030.16 : x
  2. Step 2: Convert to fraction form
    30,214.54/45,322.49 = 8,030.16/x
  3. Step 3: Cross multiply
    30,214.54x = 45,322.49 × 8,030.16
  4. Step 4: Simplify right side
    30,214.54x = 363,946,846.30
  5. Step 5: Solve for x
    x = 363,946,846.30/30,214.54
  6. Step 6: Final answer
    x = 12,045.42

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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.