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Finding the Fourth Proportional to 10,074.42, 13,904.34 and 8,393.16

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Solution

The fourth proportional to 10,074.42, 13,904.34 and 8,393.16 is: 11,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.42 : 13,904.34 = 8,393.16 : x
  2. Step 2: Convert to fraction form
    10,074.42/13,904.34 = 8,393.16/x
  3. Step 3: Cross multiply
    10,074.42x = 13,904.34 × 8,393.16
  4. Step 4: Simplify right side
    10,074.42x = 116,701,350.31
  5. Step 5: Solve for x
    x = 116,701,350.31/10,074.42
  6. Step 6: Final answer
    x = 11,583.93

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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.