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Finding the Fourth Proportional to 10,994, 15,172.80 and 6,278.36

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Solution

The fourth proportional to 10,994, 15,172.80 and 6,278.36 is: 8,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994 : 15,172.80 = 6,278.36 : x
  2. Step 2: Convert to fraction form
    10,994/15,172.80 = 6,278.36/x
  3. Step 3: Cross multiply
    10,994x = 15,172.80 × 6,278.36
  4. Step 4: Simplify right side
    10,994x = 95,260,300.61
  5. Step 5: Solve for x
    x = 95,260,300.61/10,994
  6. Step 6: Final answer
    x = 8,664.75

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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.