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Finding the Fourth Proportional to 2,420, 3,339.60 and 1,316

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Solution

The fourth proportional to 2,420, 3,339.60 and 1,316 is: 1,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420 : 3,339.60 = 1,316 : x
  2. Step 2: Convert to fraction form
    2,420/3,339.60 = 1,316/x
  3. Step 3: Cross multiply
    2,420x = 3,339.60 × 1,316
  4. Step 4: Simplify right side
    2,420x = 4,394,913.60
  5. Step 5: Solve for x
    x = 4,394,913.60/2,420
  6. Step 6: Final answer
    x = 1,816.08

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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.