Home / 2,969.47-4,097.81-1,643.30

Finding the Fourth Proportional to 2,969.47, 4,097.81 and 1,643.30

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Solution

The fourth proportional to 2,969.47, 4,097.81 and 1,643.30 is: 2,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.47 : 4,097.81 = 1,643.30 : x
  2. Step 2: Convert to fraction form
    2,969.47/4,097.81 = 1,643.30/x
  3. Step 3: Cross multiply
    2,969.47x = 4,097.81 × 1,643.30
  4. Step 4: Simplify right side
    2,969.47x = 6,733,931.17
  5. Step 5: Solve for x
    x = 6,733,931.17/2,969.47
  6. Step 6: Final answer
    x = 2,267.72

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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.