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Finding the Fourth Proportional to 10,830.78, 14,952.78 and 7,478.46

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Solution

The fourth proportional to 10,830.78, 14,952.78 and 7,478.46 is: 10,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.78 : 14,952.78 = 7,478.46 : x
  2. Step 2: Convert to fraction form
    10,830.78/14,952.78 = 7,478.46/x
  3. Step 3: Cross multiply
    10,830.78x = 14,952.78 × 7,478.46
  4. Step 4: Simplify right side
    10,830.78x = 111,823,767.12
  5. Step 5: Solve for x
    x = 111,823,767.12/10,830.78
  6. Step 6: Final answer
    x = 10,324.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.