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Finding the Fourth Proportional to 4,929.86, 7,393.22 and 1,642.08

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Solution

The fourth proportional to 4,929.86, 7,393.22 and 1,642.08 is: 2,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.86 : 7,393.22 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    4,929.86/7,393.22 = 1,642.08/x
  3. Step 3: Cross multiply
    4,929.86x = 7,393.22 × 1,642.08
  4. Step 4: Simplify right side
    4,929.86x = 12,140,258.70
  5. Step 5: Solve for x
    x = 12,140,258.70/4,929.86
  6. Step 6: Final answer
    x = 2,462.60

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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.