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Finding the Fourth Proportional to 3,913.68, 5,870.63 and 992.21

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Solution

The fourth proportional to 3,913.68, 5,870.63 and 992.21 is: 1,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.68 : 5,870.63 = 992.21 : x
  2. Step 2: Convert to fraction form
    3,913.68/5,870.63 = 992.21/x
  3. Step 3: Cross multiply
    3,913.68x = 5,870.63 × 992.21
  4. Step 4: Simplify right side
    3,913.68x = 5,824,907.51
  5. Step 5: Solve for x
    x = 5,824,907.51/3,913.68
  6. Step 6: Final answer
    x = 1,488.35

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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.