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Finding the Fourth Proportional to 2,984.51, 4,118.64 and 1,658.22

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Solution

The fourth proportional to 2,984.51, 4,118.64 and 1,658.22 is: 2,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.51 : 4,118.64 = 1,658.22 : x
  2. Step 2: Convert to fraction form
    2,984.51/4,118.64 = 1,658.22/x
  3. Step 3: Cross multiply
    2,984.51x = 4,118.64 × 1,658.22
  4. Step 4: Simplify right side
    2,984.51x = 6,829,611.22
  5. Step 5: Solve for x
    x = 6,829,611.22/2,984.51
  6. Step 6: Final answer
    x = 2,288.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.