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Finding the Fourth Proportional to 9,649.83, 13,322.73 and 7,407.40

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Solution

The fourth proportional to 9,649.83, 13,322.73 and 7,407.40 is: 10,226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.83 : 13,322.73 = 7,407.40 : x
  2. Step 2: Convert to fraction form
    9,649.83/13,322.73 = 7,407.40/x
  3. Step 3: Cross multiply
    9,649.83x = 13,322.73 × 7,407.40
  4. Step 4: Simplify right side
    9,649.83x = 98,686,790.20
  5. Step 5: Solve for x
    x = 98,686,790.20/9,649.83
  6. Step 6: Final answer
    x = 10,226.79

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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.