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Finding the Fourth Proportional to 11,038.58, 15,238.62 and 7,683.98

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Solution

The fourth proportional to 11,038.58, 15,238.62 and 7,683.98 is: 10,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.58 : 15,238.62 = 7,683.98 : x
  2. Step 2: Convert to fraction form
    11,038.58/15,238.62 = 7,683.98/x
  3. Step 3: Cross multiply
    11,038.58x = 15,238.62 × 7,683.98
  4. Step 4: Simplify right side
    11,038.58x = 117,093,251.31
  5. Step 5: Solve for x
    x = 117,093,251.31/11,038.58
  6. Step 6: Final answer
    x = 10,607.64

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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.