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Finding the Fourth Proportional to 6,937.60, 10,384.80 and 4,007.20

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Solution

The fourth proportional to 6,937.60, 10,384.80 and 4,007.20 is: 5,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.60 : 10,384.80 = 4,007.20 : x
  2. Step 2: Convert to fraction form
    6,937.60/10,384.80 = 4,007.20/x
  3. Step 3: Cross multiply
    6,937.60x = 10,384.80 × 4,007.20
  4. Step 4: Simplify right side
    6,937.60x = 41,613,970.56
  5. Step 5: Solve for x
    x = 41,613,970.56/6,937.60
  6. Step 6: Final answer
    x = 5,998.32

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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.