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Finding the Fourth Proportional to 2,649.90, 3,656.90 and 1,530.89

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Solution

The fourth proportional to 2,649.90, 3,656.90 and 1,530.89 is: 2,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.90 : 3,656.90 = 1,530.89 : x
  2. Step 2: Convert to fraction form
    2,649.90/3,656.90 = 1,530.89/x
  3. Step 3: Cross multiply
    2,649.90x = 3,656.90 × 1,530.89
  4. Step 4: Simplify right side
    2,649.90x = 5,598,285.70
  5. Step 5: Solve for x
    x = 5,598,285.70/2,649.90
  6. Step 6: Final answer
    x = 2,112.64

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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.