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Finding the Fourth Proportional to 6,931.93, 10,369.27 and 6,342.55

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Solution

The fourth proportional to 6,931.93, 10,369.27 and 6,342.55 is: 9,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.93 : 10,369.27 = 6,342.55 : x
  2. Step 2: Convert to fraction form
    6,931.93/10,369.27 = 6,342.55/x
  3. Step 3: Cross multiply
    6,931.93x = 10,369.27 × 6,342.55
  4. Step 4: Simplify right side
    6,931.93x = 65,767,618.09
  5. Step 5: Solve for x
    x = 65,767,618.09/6,931.93
  6. Step 6: Final answer
    x = 9,487.64

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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.