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Finding the Fourth Proportional to 9,885.86, 13,642.20 and 5,409.51

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Solution

The fourth proportional to 9,885.86, 13,642.20 and 5,409.51 is: 7,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.86 : 13,642.20 = 5,409.51 : x
  2. Step 2: Convert to fraction form
    9,885.86/13,642.20 = 5,409.51/x
  3. Step 3: Cross multiply
    9,885.86x = 13,642.20 × 5,409.51
  4. Step 4: Simplify right side
    9,885.86x = 73,797,617.32
  5. Step 5: Solve for x
    x = 73,797,617.32/9,885.86
  6. Step 6: Final answer
    x = 7,464.97

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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.