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Finding the Fourth Proportional to 5,345.61, 8,019.17 and 1,648.14

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Solution

The fourth proportional to 5,345.61, 8,019.17 and 1,648.14 is: 2,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.61 : 8,019.17 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    5,345.61/8,019.17 = 1,648.14/x
  3. Step 3: Cross multiply
    5,345.61x = 8,019.17 × 1,648.14
  4. Step 4: Simplify right side
    5,345.61x = 13,216,714.84
  5. Step 5: Solve for x
    x = 13,216,714.84/5,345.61
  6. Step 6: Final answer
    x = 2,472.44

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1.5x scale

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.