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Finding the Fourth Proportional to 11,570.92, 15,975.06 and 8,913.16

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Solution

The fourth proportional to 11,570.92, 15,975.06 and 8,913.16 is: 12,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.92 : 15,975.06 = 8,913.16 : x
  2. Step 2: Convert to fraction form
    11,570.92/15,975.06 = 8,913.16/x
  3. Step 3: Cross multiply
    11,570.92x = 15,975.06 × 8,913.16
  4. Step 4: Simplify right side
    11,570.92x = 142,388,265.79
  5. Step 5: Solve for x
    x = 142,388,265.79/11,570.92
  6. Step 6: Final answer
    x = 12,305.70

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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.