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Finding the Fourth Proportional to 7,767.81, 10,719.74 and 4,231.01

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Solution

The fourth proportional to 7,767.81, 10,719.74 and 4,231.01 is: 5,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.81 : 10,719.74 = 4,231.01 : x
  2. Step 2: Convert to fraction form
    7,767.81/10,719.74 = 4,231.01/x
  3. Step 3: Cross multiply
    7,767.81x = 10,719.74 × 4,231.01
  4. Step 4: Simplify right side
    7,767.81x = 45,355,364.51
  5. Step 5: Solve for x
    x = 45,355,364.51/7,767.81
  6. Step 6: Final answer
    x = 5,838.89

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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.