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Finding the Fourth Proportional to 30,578.40, 45,856.80 and 10,857.60

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Solution

The fourth proportional to 30,578.40, 45,856.80 and 10,857.60 is: 16,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.40 : 45,856.80 = 10,857.60 : x
  2. Step 2: Convert to fraction form
    30,578.40/45,856.80 = 10,857.60/x
  3. Step 3: Cross multiply
    30,578.40x = 45,856.80 × 10,857.60
  4. Step 4: Simplify right side
    30,578.40x = 497,894,791.68
  5. Step 5: Solve for x
    x = 497,894,791.68/30,578.40
  6. Step 6: Final answer
    x = 16,282.57

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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.