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Finding the Fourth Proportional to 2,875.82, 3,967.38 and 1,756.32

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Solution

The fourth proportional to 2,875.82, 3,967.38 and 1,756.32 is: 2,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.82 : 3,967.38 = 1,756.32 : x
  2. Step 2: Convert to fraction form
    2,875.82/3,967.38 = 1,756.32/x
  3. Step 3: Cross multiply
    2,875.82x = 3,967.38 × 1,756.32
  4. Step 4: Simplify right side
    2,875.82x = 6,967,988.84
  5. Step 5: Solve for x
    x = 6,967,988.84/2,875.82
  6. Step 6: Final answer
    x = 2,422.96

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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.