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Finding the Fourth Proportional to 13,492.88, 18,629.36 and 8,459.20

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Solution

The fourth proportional to 13,492.88, 18,629.36 and 8,459.20 is: 11,679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.88 : 18,629.36 = 8,459.20 : x
  2. Step 2: Convert to fraction form
    13,492.88/18,629.36 = 8,459.20/x
  3. Step 3: Cross multiply
    13,492.88x = 18,629.36 × 8,459.20
  4. Step 4: Simplify right side
    13,492.88x = 157,589,482.11
  5. Step 5: Solve for x
    x = 157,589,482.11/13,492.88
  6. Step 6: Final answer
    x = 11,679.45

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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.