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Finding the Fourth Proportional to 7,685.16, 11,513.16 and 3,792.30

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Solution

The fourth proportional to 7,685.16, 11,513.16 and 3,792.30 is: 5,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.16 : 11,513.16 = 3,792.30 : x
  2. Step 2: Convert to fraction form
    7,685.16/11,513.16 = 3,792.30/x
  3. Step 3: Cross multiply
    7,685.16x = 11,513.16 × 3,792.30
  4. Step 4: Simplify right side
    7,685.16x = 43,661,356.67
  5. Step 5: Solve for x
    x = 43,661,356.67/7,685.16
  6. Step 6: Final answer
    x = 5,681.26

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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.