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Finding the Fourth Proportional to 1,953.63, 2,930.45 and 1,188.99

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Solution

The fourth proportional to 1,953.63, 2,930.45 and 1,188.99 is: 1,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.63 : 2,930.45 = 1,188.99 : x
  2. Step 2: Convert to fraction form
    1,953.63/2,930.45 = 1,188.99/x
  3. Step 3: Cross multiply
    1,953.63x = 2,930.45 × 1,188.99
  4. Step 4: Simplify right side
    1,953.63x = 3,484,269.80
  5. Step 5: Solve for x
    x = 3,484,269.80/1,953.63
  6. Step 6: Final answer
    x = 1,783.49

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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.