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Finding the Fourth Proportional to 12,085.70, 16,674.16 and 7,840.02

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Solution

The fourth proportional to 12,085.70, 16,674.16 and 7,840.02 is: 10,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.70 : 16,674.16 = 7,840.02 : x
  2. Step 2: Convert to fraction form
    12,085.70/16,674.16 = 7,840.02/x
  3. Step 3: Cross multiply
    12,085.70x = 16,674.16 × 7,840.02
  4. Step 4: Simplify right side
    12,085.70x = 130,725,747.88
  5. Step 5: Solve for x
    x = 130,725,747.88/12,085.70
  6. Step 6: Final answer
    x = 10,816.56

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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.