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Finding the Fourth Proportional to 9,809.66, 13,526.07 and 7,447.70

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Solution

The fourth proportional to 9,809.66, 13,526.07 and 7,447.70 is: 10,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.66 : 13,526.07 = 7,447.70 : x
  2. Step 2: Convert to fraction form
    9,809.66/13,526.07 = 7,447.70/x
  3. Step 3: Cross multiply
    9,809.66x = 13,526.07 × 7,447.70
  4. Step 4: Simplify right side
    9,809.66x = 100,738,111.54
  5. Step 5: Solve for x
    x = 100,738,111.54/9,809.66
  6. Step 6: Final answer
    x = 10,269.28

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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.