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Finding the Fourth Proportional to 11,492.55, 15,859.13 and 6,456.99

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Solution

The fourth proportional to 11,492.55, 15,859.13 and 6,456.99 is: 8,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.55 : 15,859.13 = 6,456.99 : x
  2. Step 2: Convert to fraction form
    11,492.55/15,859.13 = 6,456.99/x
  3. Step 3: Cross multiply
    11,492.55x = 15,859.13 × 6,456.99
  4. Step 4: Simplify right side
    11,492.55x = 102,402,211.53
  5. Step 5: Solve for x
    x = 102,402,211.53/11,492.55
  6. Step 6: Final answer
    x = 8,910.31

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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.