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Finding the Fourth Proportional to 3,476.40, 5,210.40 and 1,284

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Solution

The fourth proportional to 3,476.40, 5,210.40 and 1,284 is: 1,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.40 : 5,210.40 = 1,284 : x
  2. Step 2: Convert to fraction form
    3,476.40/5,210.40 = 1,284/x
  3. Step 3: Cross multiply
    3,476.40x = 5,210.40 × 1,284
  4. Step 4: Simplify right side
    3,476.40x = 6,690,153.60
  5. Step 5: Solve for x
    x = 6,690,153.60/3,476.40
  6. Step 6: Final answer
    x = 1,924.45

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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.