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Finding the Fourth Proportional to 11,492.56, 15,867.06 and 8,970.22

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Solution

The fourth proportional to 11,492.56, 15,867.06 and 8,970.22 is: 12,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.56 : 15,867.06 = 8,970.22 : x
  2. Step 2: Convert to fraction form
    11,492.56/15,867.06 = 8,970.22/x
  3. Step 3: Cross multiply
    11,492.56x = 15,867.06 × 8,970.22
  4. Step 4: Simplify right side
    11,492.56x = 142,331,018.95
  5. Step 5: Solve for x
    x = 142,331,018.95/11,492.56
  6. Step 6: Final answer
    x = 12,384.62

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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.