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Finding the Fourth Proportional to 9,873.48, 13,621.86 and 6,094.92

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Solution

The fourth proportional to 9,873.48, 13,621.86 and 6,094.92 is: 8,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.48 : 13,621.86 = 6,094.92 : x
  2. Step 2: Convert to fraction form
    9,873.48/13,621.86 = 6,094.92/x
  3. Step 3: Cross multiply
    9,873.48x = 13,621.86 × 6,094.92
  4. Step 4: Simplify right side
    9,873.48x = 83,024,146.95
  5. Step 5: Solve for x
    x = 83,024,146.95/9,873.48
  6. Step 6: Final answer
    x = 8,408.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.