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Finding the Fourth Proportional to 2,987.08, 4,480.62 and 1,447

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Solution

The fourth proportional to 2,987.08, 4,480.62 and 1,447 is: 2,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.08 : 4,480.62 = 1,447 : x
  2. Step 2: Convert to fraction form
    2,987.08/4,480.62 = 1,447/x
  3. Step 3: Cross multiply
    2,987.08x = 4,480.62 × 1,447
  4. Step 4: Simplify right side
    2,987.08x = 6,483,457.14
  5. Step 5: Solve for x
    x = 6,483,457.14/2,987.08
  6. Step 6: Final answer
    x = 2,170.50

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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.