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Finding the Fourth Proportional to 13,492.61, 20,234.79 and 6,469

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Solution

The fourth proportional to 13,492.61, 20,234.79 and 6,469 is: 9,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.61 : 20,234.79 = 6,469 : x
  2. Step 2: Convert to fraction form
    13,492.61/20,234.79 = 6,469/x
  3. Step 3: Cross multiply
    13,492.61x = 20,234.79 × 6,469
  4. Step 4: Simplify right side
    13,492.61x = 130,898,856.51
  5. Step 5: Solve for x
    x = 130,898,856.51/13,492.61
  6. Step 6: Final answer
    x = 9,701.52

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1.5x scale

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.