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Finding the Fourth Proportional to 8,509.44, 11,666.40 and 8,353.92

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Solution

The fourth proportional to 8,509.44, 11,666.40 and 8,353.92 is: 11,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.44 : 11,666.40 = 8,353.92 : x
  2. Step 2: Convert to fraction form
    8,509.44/11,666.40 = 8,353.92/x
  3. Step 3: Cross multiply
    8,509.44x = 11,666.40 × 8,353.92
  4. Step 4: Simplify right side
    8,509.44x = 97,460,172.29
  5. Step 5: Solve for x
    x = 97,460,172.29/8,509.44
  6. Step 6: Final answer
    x = 11,453.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.