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Finding the Fourth Proportional to 7,807.42, 11,717.70 and 3,130.72

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Solution

The fourth proportional to 7,807.42, 11,717.70 and 3,130.72 is: 4,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.42 : 11,717.70 = 3,130.72 : x
  2. Step 2: Convert to fraction form
    7,807.42/11,717.70 = 3,130.72/x
  3. Step 3: Cross multiply
    7,807.42x = 11,717.70 × 3,130.72
  4. Step 4: Simplify right side
    7,807.42x = 36,684,837.74
  5. Step 5: Solve for x
    x = 36,684,837.74/7,807.42
  6. Step 6: Final answer
    x = 4,698.71

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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.