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Finding the Fourth Proportional to 9,975.07, 13,683.07 and 9,767.45

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Solution

The fourth proportional to 9,975.07, 13,683.07 and 9,767.45 is: 13,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.07 : 13,683.07 = 9,767.45 : x
  2. Step 2: Convert to fraction form
    9,975.07/13,683.07 = 9,767.45/x
  3. Step 3: Cross multiply
    9,975.07x = 13,683.07 × 9,767.45
  4. Step 4: Simplify right side
    9,975.07x = 133,648,711.86
  5. Step 5: Solve for x
    x = 133,648,711.86/9,975.07
  6. Step 6: Final answer
    x = 13,398.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.