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Finding the Fourth Proportional to 2,971.99, 4,103.35 and 2,656.24

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Solution

The fourth proportional to 2,971.99, 4,103.35 and 2,656.24 is: 3,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.99 : 4,103.35 = 2,656.24 : x
  2. Step 2: Convert to fraction form
    2,971.99/4,103.35 = 2,656.24/x
  3. Step 3: Cross multiply
    2,971.99x = 4,103.35 × 2,656.24
  4. Step 4: Simplify right side
    2,971.99x = 10,899,465.51
  5. Step 5: Solve for x
    x = 10,899,465.51/2,971.99
  6. Step 6: Final answer
    x = 3,667.40

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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.