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Finding the Fourth Proportional to 7,859.16, 11,628.36 and 7,837.56

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Solution

The fourth proportional to 7,859.16, 11,628.36 and 7,837.56 is: 11,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.16 : 11,628.36 = 7,837.56 : x
  2. Step 2: Convert to fraction form
    7,859.16/11,628.36 = 7,837.56/x
  3. Step 3: Cross multiply
    7,859.16x = 11,628.36 × 7,837.56
  4. Step 4: Simplify right side
    7,859.16x = 91,137,969.20
  5. Step 5: Solve for x
    x = 91,137,969.20/7,859.16
  6. Step 6: Final answer
    x = 11,596.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.