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Finding the Fourth Proportional to 5,345.63, 8,019.19 and 1,648.16

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Solution

The fourth proportional to 5,345.63, 8,019.19 and 1,648.16 is: 2,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.63 : 8,019.19 = 1,648.16 : x
  2. Step 2: Convert to fraction form
    5,345.63/8,019.19 = 1,648.16/x
  3. Step 3: Cross multiply
    5,345.63x = 8,019.19 × 1,648.16
  4. Step 4: Simplify right side
    5,345.63x = 13,216,868.09
  5. Step 5: Solve for x
    x = 13,216,868.09/5,345.63
  6. Step 6: Final answer
    x = 2,472.46

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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.