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Finding the Fourth Proportional to 9,509.28, 13,118.40 and 5,921.28

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Solution

The fourth proportional to 9,509.28, 13,118.40 and 5,921.28 is: 8,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.28 : 13,118.40 = 5,921.28 : x
  2. Step 2: Convert to fraction form
    9,509.28/13,118.40 = 5,921.28/x
  3. Step 3: Cross multiply
    9,509.28x = 13,118.40 × 5,921.28
  4. Step 4: Simplify right side
    9,509.28x = 77,677,719.55
  5. Step 5: Solve for x
    x = 77,677,719.55/9,509.28
  6. Step 6: Final answer
    x = 8,168.62

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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.