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Finding the Fourth Proportional to 12,291.22, 16,957.07 and 7,567.30

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Solution

The fourth proportional to 12,291.22, 16,957.07 and 7,567.30 is: 10,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.22 : 16,957.07 = 7,567.30 : x
  2. Step 2: Convert to fraction form
    12,291.22/16,957.07 = 7,567.30/x
  3. Step 3: Cross multiply
    12,291.22x = 16,957.07 × 7,567.30
  4. Step 4: Simplify right side
    12,291.22x = 128,319,155.58
  5. Step 5: Solve for x
    x = 128,319,155.58/12,291.22
  6. Step 6: Final answer
    x = 10,439.91

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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.