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Finding the Fourth Proportional to 2,983.62, 4,117.62 and 1,657.47

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Solution

The fourth proportional to 2,983.62, 4,117.62 and 1,657.47 is: 2,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.62 : 4,117.62 = 1,657.47 : x
  2. Step 2: Convert to fraction form
    2,983.62/4,117.62 = 1,657.47/x
  3. Step 3: Cross multiply
    2,983.62x = 4,117.62 × 1,657.47
  4. Step 4: Simplify right side
    2,983.62x = 6,824,831.62
  5. Step 5: Solve for x
    x = 6,824,831.62/2,983.62
  6. Step 6: Final answer
    x = 2,287.43

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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.