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Finding the Fourth Proportional to 2,700.48, 4,047.84 and 1,140.16

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Solution

The fourth proportional to 2,700.48, 4,047.84 and 1,140.16 is: 1,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.48 : 4,047.84 = 1,140.16 : x
  2. Step 2: Convert to fraction form
    2,700.48/4,047.84 = 1,140.16/x
  3. Step 3: Cross multiply
    2,700.48x = 4,047.84 × 1,140.16
  4. Step 4: Simplify right side
    2,700.48x = 4,615,185.25
  5. Step 5: Solve for x
    x = 4,615,185.25/2,700.48
  6. Step 6: Final answer
    x = 1,709.02

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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.