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Finding the Fourth Proportional to 12,897.40, 17,798.16 and 8,412.64

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Solution

The fourth proportional to 12,897.40, 17,798.16 and 8,412.64 is: 11,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.40 : 17,798.16 = 8,412.64 : x
  2. Step 2: Convert to fraction form
    12,897.40/17,798.16 = 8,412.64/x
  3. Step 3: Cross multiply
    12,897.40x = 17,798.16 × 8,412.64
  4. Step 4: Simplify right side
    12,897.40x = 149,729,512.74
  5. Step 5: Solve for x
    x = 149,729,512.74/12,897.40
  6. Step 6: Final answer
    x = 11,609.28

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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.