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Finding the Fourth Proportional to 1,854.64, 2,784.40 and 1,242.28

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Solution

The fourth proportional to 1,854.64, 2,784.40 and 1,242.28 is: 1,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.64 : 2,784.40 = 1,242.28 : x
  2. Step 2: Convert to fraction form
    1,854.64/2,784.40 = 1,242.28/x
  3. Step 3: Cross multiply
    1,854.64x = 2,784.40 × 1,242.28
  4. Step 4: Simplify right side
    1,854.64x = 3,459,004.43
  5. Step 5: Solve for x
    x = 3,459,004.43/1,854.64
  6. Step 6: Final answer
    x = 1,865.05

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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.