Home / 2,090.50-2,884.95-1,159.06

Finding the Fourth Proportional to 2,090.50, 2,884.95 and 1,159.06

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Solution

The fourth proportional to 2,090.50, 2,884.95 and 1,159.06 is: 1,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.50 : 2,884.95 = 1,159.06 : x
  2. Step 2: Convert to fraction form
    2,090.50/2,884.95 = 1,159.06/x
  3. Step 3: Cross multiply
    2,090.50x = 2,884.95 × 1,159.06
  4. Step 4: Simplify right side
    2,090.50x = 3,343,830.15
  5. Step 5: Solve for x
    x = 3,343,830.15/2,090.50
  6. Step 6: Final answer
    x = 1,599.54

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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.