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Finding the Fourth Proportional to 3,854.64, 5,316.12 and 2,457.84

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Solution

The fourth proportional to 3,854.64, 5,316.12 and 2,457.84 is: 3,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.64 : 5,316.12 = 2,457.84 : x
  2. Step 2: Convert to fraction form
    3,854.64/5,316.12 = 2,457.84/x
  3. Step 3: Cross multiply
    3,854.64x = 5,316.12 × 2,457.84
  4. Step 4: Simplify right side
    3,854.64x = 13,066,172.38
  5. Step 5: Solve for x
    x = 13,066,172.38/3,854.64
  6. Step 6: Final answer
    x = 3,389.73

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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.