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Finding the Fourth Proportional to 2,887.68, 3,985.20 and 1,645.68

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Solution

The fourth proportional to 2,887.68, 3,985.20 and 1,645.68 is: 2,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.68 : 3,985.20 = 1,645.68 : x
  2. Step 2: Convert to fraction form
    2,887.68/3,985.20 = 1,645.68/x
  3. Step 3: Cross multiply
    2,887.68x = 3,985.20 × 1,645.68
  4. Step 4: Simplify right side
    2,887.68x = 6,558,363.94
  5. Step 5: Solve for x
    x = 6,558,363.94/2,887.68
  6. Step 6: Final answer
    x = 2,271.15

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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.