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Finding the Fourth Proportional to 2,875.77, 3,969.36 and 1,697.22

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Solution

The fourth proportional to 2,875.77, 3,969.36 and 1,697.22 is: 2,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.77 : 3,969.36 = 1,697.22 : x
  2. Step 2: Convert to fraction form
    2,875.77/3,969.36 = 1,697.22/x
  3. Step 3: Cross multiply
    2,875.77x = 3,969.36 × 1,697.22
  4. Step 4: Simplify right side
    2,875.77x = 6,736,877.18
  5. Step 5: Solve for x
    x = 6,736,877.18/2,875.77
  6. Step 6: Final answer
    x = 2,342.63

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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.