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Finding the Fourth Proportional to 8,615.52, 11,880 and 5,816.16

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Solution

The fourth proportional to 8,615.52, 11,880 and 5,816.16 is: 8,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.52 : 11,880 = 5,816.16 : x
  2. Step 2: Convert to fraction form
    8,615.52/11,880 = 5,816.16/x
  3. Step 3: Cross multiply
    8,615.52x = 11,880 × 5,816.16
  4. Step 4: Simplify right side
    8,615.52x = 69,095,980.80
  5. Step 5: Solve for x
    x = 69,095,980.80/8,615.52
  6. Step 6: Final answer
    x = 8,019.94

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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.