Home / 13,086-19,602.72-6,492.24

Finding the Fourth Proportional to 13,086, 19,602.72 and 6,492.24

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Solution

The fourth proportional to 13,086, 19,602.72 and 6,492.24 is: 9,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 19,602.72 = 6,492.24 : x
  2. Step 2: Convert to fraction form
    13,086/19,602.72 = 6,492.24/x
  3. Step 3: Cross multiply
    13,086x = 19,602.72 × 6,492.24
  4. Step 4: Simplify right side
    13,086x = 127,265,562.89
  5. Step 5: Solve for x
    x = 127,265,562.89/13,086
  6. Step 6: Final answer
    x = 9,725.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.