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Finding the Fourth Proportional to 9,889.80, 14,816.70 and 7,823.40

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Solution

The fourth proportional to 9,889.80, 14,816.70 and 7,823.40 is: 11,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.80 : 14,816.70 = 7,823.40 : x
  2. Step 2: Convert to fraction form
    9,889.80/14,816.70 = 7,823.40/x
  3. Step 3: Cross multiply
    9,889.80x = 14,816.70 × 7,823.40
  4. Step 4: Simplify right side
    9,889.80x = 115,916,970.78
  5. Step 5: Solve for x
    x = 115,916,970.78/9,889.80
  6. Step 6: Final answer
    x = 11,720.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.