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Finding the Fourth Proportional to 12,111.70, 16,712.66 and 7,008.10

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Solution

The fourth proportional to 12,111.70, 16,712.66 and 7,008.10 is: 9,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.70 : 16,712.66 = 7,008.10 : x
  2. Step 2: Convert to fraction form
    12,111.70/16,712.66 = 7,008.10/x
  3. Step 3: Cross multiply
    12,111.70x = 16,712.66 × 7,008.10
  4. Step 4: Simplify right side
    12,111.70x = 117,123,992.55
  5. Step 5: Solve for x
    x = 117,123,992.55/12,111.70
  6. Step 6: Final answer
    x = 9,670.32

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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.