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Finding the Fourth Proportional to 1,804.77, 2,487.57 and 1,647.93

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Solution

The fourth proportional to 1,804.77, 2,487.57 and 1,647.93 is: 2,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.77 : 2,487.57 = 1,647.93 : x
  2. Step 2: Convert to fraction form
    1,804.77/2,487.57 = 1,647.93/x
  3. Step 3: Cross multiply
    1,804.77x = 2,487.57 × 1,647.93
  4. Step 4: Simplify right side
    1,804.77x = 4,099,341.23
  5. Step 5: Solve for x
    x = 4,099,341.23/1,804.77
  6. Step 6: Final answer
    x = 2,271.39

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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.