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Finding the Fourth Proportional to 1,851, 2,775.96 and 552.16

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Solution

The fourth proportional to 1,851, 2,775.96 and 552.16 is: 828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851 : 2,775.96 = 552.16 : x
  2. Step 2: Convert to fraction form
    1,851/2,775.96 = 552.16/x
  3. Step 3: Cross multiply
    1,851x = 2,775.96 × 552.16
  4. Step 4: Simplify right side
    1,851x = 1,532,774.07
  5. Step 5: Solve for x
    x = 1,532,774.07/1,851
  6. Step 6: Final answer
    x = 828.08

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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.