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Finding the Fourth Proportional to 4,906.86, 7,360.20 and 1,985.10

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Solution

The fourth proportional to 4,906.86, 7,360.20 and 1,985.10 is: 2,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.86 : 7,360.20 = 1,985.10 : x
  2. Step 2: Convert to fraction form
    4,906.86/7,360.20 = 1,985.10/x
  3. Step 3: Cross multiply
    4,906.86x = 7,360.20 × 1,985.10
  4. Step 4: Simplify right side
    4,906.86x = 14,610,733.02
  5. Step 5: Solve for x
    x = 14,610,733.02/4,906.86
  6. Step 6: Final answer
    x = 2,977.61

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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.