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Finding the Fourth Proportional to 9,803.42, 13,531.66 and 7,813.26

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Solution

The fourth proportional to 9,803.42, 13,531.66 and 7,813.26 is: 10,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.42 : 13,531.66 = 7,813.26 : x
  2. Step 2: Convert to fraction form
    9,803.42/13,531.66 = 7,813.26/x
  3. Step 3: Cross multiply
    9,803.42x = 13,531.66 × 7,813.26
  4. Step 4: Simplify right side
    9,803.42x = 105,726,377.81
  5. Step 5: Solve for x
    x = 105,726,377.81/9,803.42
  6. Step 6: Final answer
    x = 10,784.64

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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.