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Finding the Fourth Proportional to 7,873, 10,864.74 and 4,336.20

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Solution

The fourth proportional to 7,873, 10,864.74 and 4,336.20 is: 5,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873 : 10,864.74 = 4,336.20 : x
  2. Step 2: Convert to fraction form
    7,873/10,864.74 = 4,336.20/x
  3. Step 3: Cross multiply
    7,873x = 10,864.74 × 4,336.20
  4. Step 4: Simplify right side
    7,873x = 47,111,685.59
  5. Step 5: Solve for x
    x = 47,111,685.59/7,873
  6. Step 6: Final answer
    x = 5,983.96

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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.