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Finding the Fourth Proportional to 4,945.86, 7,421.76 and 1,825.34

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Solution

The fourth proportional to 4,945.86, 7,421.76 and 1,825.34 is: 2,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.86 : 7,421.76 = 1,825.34 : x
  2. Step 2: Convert to fraction form
    4,945.86/7,421.76 = 1,825.34/x
  3. Step 3: Cross multiply
    4,945.86x = 7,421.76 × 1,825.34
  4. Step 4: Simplify right side
    4,945.86x = 13,547,198.29
  5. Step 5: Solve for x
    x = 13,547,198.29/4,945.86
  6. Step 6: Final answer
    x = 2,739.10

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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.