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Finding the Fourth Proportional to 2,784.04, 3,840.40 and 2,502.16

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Solution

The fourth proportional to 2,784.04, 3,840.40 and 2,502.16 is: 3,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.04 : 3,840.40 = 2,502.16 : x
  2. Step 2: Convert to fraction form
    2,784.04/3,840.40 = 2,502.16/x
  3. Step 3: Cross multiply
    2,784.04x = 3,840.40 × 2,502.16
  4. Step 4: Simplify right side
    2,784.04x = 9,609,295.26
  5. Step 5: Solve for x
    x = 9,609,295.26/2,784.04
  6. Step 6: Final answer
    x = 3,451.57

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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.