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Finding the Fourth Proportional to 9,807.78, 13,534.80 and 5,331.57

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Solution

The fourth proportional to 9,807.78, 13,534.80 and 5,331.57 is: 7,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.78 : 13,534.80 = 5,331.57 : x
  2. Step 2: Convert to fraction form
    9,807.78/13,534.80 = 5,331.57/x
  3. Step 3: Cross multiply
    9,807.78x = 13,534.80 × 5,331.57
  4. Step 4: Simplify right side
    9,807.78x = 72,161,733.64
  5. Step 5: Solve for x
    x = 72,161,733.64/9,807.78
  6. Step 6: Final answer
    x = 7,357.60

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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.