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Finding the Fourth Proportional to 2,685.48, 3,705.60 and 1,506.48

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Solution

The fourth proportional to 2,685.48, 3,705.60 and 1,506.48 is: 2,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.48 : 3,705.60 = 1,506.48 : x
  2. Step 2: Convert to fraction form
    2,685.48/3,705.60 = 1,506.48/x
  3. Step 3: Cross multiply
    2,685.48x = 3,705.60 × 1,506.48
  4. Step 4: Simplify right side
    2,685.48x = 5,582,412.29
  5. Step 5: Solve for x
    x = 5,582,412.29/2,685.48
  6. Step 6: Final answer
    x = 2,078.74

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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.