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Finding the Fourth Proportional to 10,489.72, 14,474.95 and 6,509.38

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Solution

The fourth proportional to 10,489.72, 14,474.95 and 6,509.38 is: 8,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.72 : 14,474.95 = 6,509.38 : x
  2. Step 2: Convert to fraction form
    10,489.72/14,474.95 = 6,509.38/x
  3. Step 3: Cross multiply
    10,489.72x = 14,474.95 × 6,509.38
  4. Step 4: Simplify right side
    10,489.72x = 94,222,950.03
  5. Step 5: Solve for x
    x = 94,222,950.03/10,489.72
  6. Step 6: Final answer
    x = 8,982.41

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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.