Home / 1,538.45-2,122.98-948.77

Finding the Fourth Proportional to 1,538.45, 2,122.98 and 948.77

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Solution

The fourth proportional to 1,538.45, 2,122.98 and 948.77 is: 1,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.45 : 2,122.98 = 948.77 : x
  2. Step 2: Convert to fraction form
    1,538.45/2,122.98 = 948.77/x
  3. Step 3: Cross multiply
    1,538.45x = 2,122.98 × 948.77
  4. Step 4: Simplify right side
    1,538.45x = 2,014,219.73
  5. Step 5: Solve for x
    x = 2,014,219.73/1,538.45
  6. Step 6: Final answer
    x = 1,309.25

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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.