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Finding the Fourth Proportional to 1,775.51, 2,649.18 and 1,590.83

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Solution

The fourth proportional to 1,775.51, 2,649.18 and 1,590.83 is: 2,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.51 : 2,649.18 = 1,590.83 : x
  2. Step 2: Convert to fraction form
    1,775.51/2,649.18 = 1,590.83/x
  3. Step 3: Cross multiply
    1,775.51x = 2,649.18 × 1,590.83
  4. Step 4: Simplify right side
    1,775.51x = 4,214,395.02
  5. Step 5: Solve for x
    x = 4,214,395.02/1,775.51
  6. Step 6: Final answer
    x = 2,373.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.