Home / 1,980.10-2,970.66-1,159.08

Finding the Fourth Proportional to 1,980.10, 2,970.66 and 1,159.08

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Solution

The fourth proportional to 1,980.10, 2,970.66 and 1,159.08 is: 1,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.10 : 2,970.66 = 1,159.08 : x
  2. Step 2: Convert to fraction form
    1,980.10/2,970.66 = 1,159.08/x
  3. Step 3: Cross multiply
    1,980.10x = 2,970.66 × 1,159.08
  4. Step 4: Simplify right side
    1,980.10x = 3,443,232.59
  5. Step 5: Solve for x
    x = 3,443,232.59/1,980.10
  6. Step 6: Final answer
    x = 1,738.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.