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Finding the Fourth Proportional to 1,647.90, 2,271.74 and 1,018.02

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Solution

The fourth proportional to 1,647.90, 2,271.74 and 1,018.02 is: 1,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.90 : 2,271.74 = 1,018.02 : x
  2. Step 2: Convert to fraction form
    1,647.90/2,271.74 = 1,018.02/x
  3. Step 3: Cross multiply
    1,647.90x = 2,271.74 × 1,018.02
  4. Step 4: Simplify right side
    1,647.90x = 2,312,676.75
  5. Step 5: Solve for x
    x = 2,312,676.75/1,647.90
  6. Step 6: Final answer
    x = 1,403.41

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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.