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Finding the Fourth Proportional to 3,119.80, 4,358 and 3,119.80

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Solution

The fourth proportional to 3,119.80, 4,358 and 3,119.80 is: 4,358

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.80 : 4,358 = 3,119.80 : x
  2. Step 2: Convert to fraction form
    3,119.80/4,358 = 3,119.80/x
  3. Step 3: Cross multiply
    3,119.80x = 4,358 × 3,119.80
  4. Step 4: Simplify right side
    3,119.80x = 13,596,088.40
  5. Step 5: Solve for x
    x = 13,596,088.40/3,119.80
  6. Step 6: Final answer
    x = 4,358

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.