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Finding the Fourth Proportional to 12,994, 19,459.14 and 12,663.52

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Solution

The fourth proportional to 12,994, 19,459.14 and 12,663.52 is: 18,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994 : 19,459.14 = 12,663.52 : x
  2. Step 2: Convert to fraction form
    12,994/19,459.14 = 12,663.52/x
  3. Step 3: Cross multiply
    12,994x = 19,459.14 × 12,663.52
  4. Step 4: Simplify right side
    12,994x = 246,421,208.57
  5. Step 5: Solve for x
    x = 246,421,208.57/12,994
  6. Step 6: Final answer
    x = 18,964.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.