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Finding the Fourth Proportional to 30,651.54, 45,971.82 and 8,459.40

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Solution

The fourth proportional to 30,651.54, 45,971.82 and 8,459.40 is: 12,687.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,651.54 : 45,971.82 = 8,459.40 : x
  2. Step 2: Convert to fraction form
    30,651.54/45,971.82 = 8,459.40/x
  3. Step 3: Cross multiply
    30,651.54x = 45,971.82 × 8,459.40
  4. Step 4: Simplify right side
    30,651.54x = 388,894,014.11
  5. Step 5: Solve for x
    x = 388,894,014.11/30,651.54
  6. Step 6: Final answer
    x = 12,687.58

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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.