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Finding the Fourth Proportional to 3,119.94, 4,678.52 and 1,658.76

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Solution

The fourth proportional to 3,119.94, 4,678.52 and 1,658.76 is: 2,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.94 : 4,678.52 = 1,658.76 : x
  2. Step 2: Convert to fraction form
    3,119.94/4,678.52 = 1,658.76/x
  3. Step 3: Cross multiply
    3,119.94x = 4,678.52 × 1,658.76
  4. Step 4: Simplify right side
    3,119.94x = 7,760,541.84
  5. Step 5: Solve for x
    x = 7,760,541.84/3,119.94
  6. Step 6: Final answer
    x = 2,487.40

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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.