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Finding the Fourth Proportional to 12,492.23, 17,239.91 and 7,114.77

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Solution

The fourth proportional to 12,492.23, 17,239.91 and 7,114.77 is: 9,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.23 : 17,239.91 = 7,114.77 : x
  2. Step 2: Convert to fraction form
    12,492.23/17,239.91 = 7,114.77/x
  3. Step 3: Cross multiply
    12,492.23x = 17,239.91 × 7,114.77
  4. Step 4: Simplify right side
    12,492.23x = 122,657,958.90
  5. Step 5: Solve for x
    x = 122,657,958.90/12,492.23
  6. Step 6: Final answer
    x = 9,818.74

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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.