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Finding the Fourth Proportional to 1,641.96, 2,458.98 and 946.92

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Solution

The fourth proportional to 1,641.96, 2,458.98 and 946.92 is: 1,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.96 : 2,458.98 = 946.92 : x
  2. Step 2: Convert to fraction form
    1,641.96/2,458.98 = 946.92/x
  3. Step 3: Cross multiply
    1,641.96x = 2,458.98 × 946.92
  4. Step 4: Simplify right side
    1,641.96x = 2,328,457.34
  5. Step 5: Solve for x
    x = 2,328,457.34/1,641.96
  6. Step 6: Final answer
    x = 1,418.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.