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Finding the Fourth Proportional to 7,256.66, 10,851.78 and 5,409.06

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Solution

The fourth proportional to 7,256.66, 10,851.78 and 5,409.06 is: 8,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.66 : 10,851.78 = 5,409.06 : x
  2. Step 2: Convert to fraction form
    7,256.66/10,851.78 = 5,409.06/x
  3. Step 3: Cross multiply
    7,256.66x = 10,851.78 × 5,409.06
  4. Step 4: Simplify right side
    7,256.66x = 58,697,929.13
  5. Step 5: Solve for x
    x = 58,697,929.13/7,256.66
  6. Step 6: Final answer
    x = 8,088.84

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