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Finding the Fourth Proportional to 3,913.71, 5,870.58 and 992.02

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Solution

The fourth proportional to 3,913.71, 5,870.58 and 992.02 is: 1,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.71 : 5,870.58 = 992.02 : x
  2. Step 2: Convert to fraction form
    3,913.71/5,870.58 = 992.02/x
  3. Step 3: Cross multiply
    3,913.71x = 5,870.58 × 992.02
  4. Step 4: Simplify right side
    3,913.71x = 5,823,732.77
  5. Step 5: Solve for x
    x = 5,823,732.77/3,913.71
  6. Step 6: Final answer
    x = 1,488.03

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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.