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Finding the Fourth Proportional to 1,953.49, 2,928.15 and 912.28

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Solution

The fourth proportional to 1,953.49, 2,928.15 and 912.28 is: 1,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.49 : 2,928.15 = 912.28 : x
  2. Step 2: Convert to fraction form
    1,953.49/2,928.15 = 912.28/x
  3. Step 3: Cross multiply
    1,953.49x = 2,928.15 × 912.28
  4. Step 4: Simplify right side
    1,953.49x = 2,671,292.68
  5. Step 5: Solve for x
    x = 2,671,292.68/1,953.49
  6. Step 6: Final answer
    x = 1,367.45

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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.