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Finding the Fourth Proportional to 4,945.91, 7,417.06 and 1,658.21

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Solution

The fourth proportional to 4,945.91, 7,417.06 and 1,658.21 is: 2,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.91 : 7,417.06 = 1,658.21 : x
  2. Step 2: Convert to fraction form
    4,945.91/7,417.06 = 1,658.21/x
  3. Step 3: Cross multiply
    4,945.91x = 7,417.06 × 1,658.21
  4. Step 4: Simplify right side
    4,945.91x = 12,299,001.83
  5. Step 5: Solve for x
    x = 12,299,001.83/4,945.91
  6. Step 6: Final answer
    x = 2,486.70

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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.