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Finding the Fourth Proportional to 9,007.78, 13,564.19 and 6,684.16

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Solution

The fourth proportional to 9,007.78, 13,564.19 and 6,684.16 is: 10,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.78 : 13,564.19 = 6,684.16 : x
  2. Step 2: Convert to fraction form
    9,007.78/13,564.19 = 6,684.16/x
  3. Step 3: Cross multiply
    9,007.78x = 13,564.19 × 6,684.16
  4. Step 4: Simplify right side
    9,007.78x = 90,665,216.23
  5. Step 5: Solve for x
    x = 90,665,216.23/9,007.78
  6. Step 6: Final answer
    x = 10,065.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.