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Finding the Fourth Proportional to 3,559, 4,911.42 and 1,987.10

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Solution

The fourth proportional to 3,559, 4,911.42 and 1,987.10 is: 2,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559 : 4,911.42 = 1,987.10 : x
  2. Step 2: Convert to fraction form
    3,559/4,911.42 = 1,987.10/x
  3. Step 3: Cross multiply
    3,559x = 4,911.42 × 1,987.10
  4. Step 4: Simplify right side
    3,559x = 9,759,482.68
  5. Step 5: Solve for x
    x = 9,759,482.68/3,559
  6. Step 6: Final answer
    x = 2,742.20

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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.