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Finding the Fourth Proportional to 7,803.47, 11,699.74 and 2,872.47

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Solution

The fourth proportional to 7,803.47, 11,699.74 and 2,872.47 is: 4,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.47 : 11,699.74 = 2,872.47 : x
  2. Step 2: Convert to fraction form
    7,803.47/11,699.74 = 2,872.47/x
  3. Step 3: Cross multiply
    7,803.47x = 11,699.74 × 2,872.47
  4. Step 4: Simplify right side
    7,803.47x = 33,607,152.16
  5. Step 5: Solve for x
    x = 33,607,152.16/7,803.47
  6. Step 6: Final answer
    x = 4,306.69

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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.