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Finding the Fourth Proportional to 1,357.37, 1,873.08 and 984.81

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Solution

The fourth proportional to 1,357.37, 1,873.08 and 984.81 is: 1,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.37 : 1,873.08 = 984.81 : x
  2. Step 2: Convert to fraction form
    1,357.37/1,873.08 = 984.81/x
  3. Step 3: Cross multiply
    1,357.37x = 1,873.08 × 984.81
  4. Step 4: Simplify right side
    1,357.37x = 1,844,627.91
  5. Step 5: Solve for x
    x = 1,844,627.91/1,357.37
  6. Step 6: Final answer
    x = 1,358.98

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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.