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Finding the Fourth Proportional to 10,323.56, 15,472.64 and 4,769.40

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Solution

The fourth proportional to 10,323.56, 15,472.64 and 4,769.40 is: 7,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.56 : 15,472.64 = 4,769.40 : x
  2. Step 2: Convert to fraction form
    10,323.56/15,472.64 = 4,769.40/x
  3. Step 3: Cross multiply
    10,323.56x = 15,472.64 × 4,769.40
  4. Step 4: Simplify right side
    10,323.56x = 73,795,209.22
  5. Step 5: Solve for x
    x = 73,795,209.22/10,323.56
  6. Step 6: Final answer
    x = 7,148.23

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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.