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Finding the Fourth Proportional to 3,045.90, 4,203.30 and 1,648.64

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Solution

The fourth proportional to 3,045.90, 4,203.30 and 1,648.64 is: 2,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.90 : 4,203.30 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    3,045.90/4,203.30 = 1,648.64/x
  3. Step 3: Cross multiply
    3,045.90x = 4,203.30 × 1,648.64
  4. Step 4: Simplify right side
    3,045.90x = 6,929,728.51
  5. Step 5: Solve for x
    x = 6,929,728.51/3,045.90
  6. Step 6: Final answer
    x = 2,275.10

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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.