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Finding the Fourth Proportional to 3,657.29, 5,047.05 and 1,978.69

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Solution

The fourth proportional to 3,657.29, 5,047.05 and 1,978.69 is: 2,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.29 : 5,047.05 = 1,978.69 : x
  2. Step 2: Convert to fraction form
    3,657.29/5,047.05 = 1,978.69/x
  3. Step 3: Cross multiply
    3,657.29x = 5,047.05 × 1,978.69
  4. Step 4: Simplify right side
    3,657.29x = 9,986,547.36
  5. Step 5: Solve for x
    x = 9,986,547.36/3,657.29
  6. Step 6: Final answer
    x = 2,730.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.