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Finding the Fourth Proportional to 12,729.34, 17,566.64 and 7,064.20

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Solution

The fourth proportional to 12,729.34, 17,566.64 and 7,064.20 is: 9,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.34 : 17,566.64 = 7,064.20 : x
  2. Step 2: Convert to fraction form
    12,729.34/17,566.64 = 7,064.20/x
  3. Step 3: Cross multiply
    12,729.34x = 17,566.64 × 7,064.20
  4. Step 4: Simplify right side
    12,729.34x = 124,094,258.29
  5. Step 5: Solve for x
    x = 124,094,258.29/12,729.34
  6. Step 6: Final answer
    x = 9,748.68

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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.