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Finding the Fourth Proportional to 2,147.22, 2,962.80 and 1,307.64

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Solution

The fourth proportional to 2,147.22, 2,962.80 and 1,307.64 is: 1,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.22 : 2,962.80 = 1,307.64 : x
  2. Step 2: Convert to fraction form
    2,147.22/2,962.80 = 1,307.64/x
  3. Step 3: Cross multiply
    2,147.22x = 2,962.80 × 1,307.64
  4. Step 4: Simplify right side
    2,147.22x = 3,874,275.79
  5. Step 5: Solve for x
    x = 3,874,275.79/2,147.22
  6. Step 6: Final answer
    x = 1,804.32

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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.