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Finding the Fourth Proportional to 30,578.60, 45,868.86 and 10,856.84

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Solution

The fourth proportional to 30,578.60, 45,868.86 and 10,856.84 is: 16,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.60 : 45,868.86 = 10,856.84 : x
  2. Step 2: Convert to fraction form
    30,578.60/45,868.86 = 10,856.84/x
  3. Step 3: Cross multiply
    30,578.60x = 45,868.86 × 10,856.84
  4. Step 4: Simplify right side
    30,578.60x = 497,990,874.00
  5. Step 5: Solve for x
    x = 497,990,874.00/30,578.60
  6. Step 6: Final answer
    x = 16,285.60

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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.