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Finding the Fourth Proportional to 2,457.76, 3,688.08 and 1,485.76

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Solution

The fourth proportional to 2,457.76, 3,688.08 and 1,485.76 is: 2,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.76 : 3,688.08 = 1,485.76 : x
  2. Step 2: Convert to fraction form
    2,457.76/3,688.08 = 1,485.76/x
  3. Step 3: Cross multiply
    2,457.76x = 3,688.08 × 1,485.76
  4. Step 4: Simplify right side
    2,457.76x = 5,479,601.74
  5. Step 5: Solve for x
    x = 5,479,601.74/2,457.76
  6. Step 6: Final answer
    x = 2,229.51

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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.