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Finding the Fourth Proportional to 11,438.51, 15,787.19 and 8,303.81

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Solution

The fourth proportional to 11,438.51, 15,787.19 and 8,303.81 is: 11,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.51 : 15,787.19 = 8,303.81 : x
  2. Step 2: Convert to fraction form
    11,438.51/15,787.19 = 8,303.81/x
  3. Step 3: Cross multiply
    11,438.51x = 15,787.19 × 8,303.81
  4. Step 4: Simplify right side
    11,438.51x = 131,093,784.67
  5. Step 5: Solve for x
    x = 131,093,784.67/11,438.51
  6. Step 6: Final answer
    x = 11,460.74

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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.