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Finding the Fourth Proportional to 7,004.76, 9,666.56 and 3,861

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Solution

The fourth proportional to 7,004.76, 9,666.56 and 3,861 is: 5,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.76 : 9,666.56 = 3,861 : x
  2. Step 2: Convert to fraction form
    7,004.76/9,666.56 = 3,861/x
  3. Step 3: Cross multiply
    7,004.76x = 9,666.56 × 3,861
  4. Step 4: Simplify right side
    7,004.76x = 37,322,588.16
  5. Step 5: Solve for x
    x = 37,322,588.16/7,004.76
  6. Step 6: Final answer
    x = 5,328.18

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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.