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Finding the Fourth Proportional to 12,862.56, 17,748.36 and 7,197.60

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Solution

The fourth proportional to 12,862.56, 17,748.36 and 7,197.60 is: 9,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.56 : 17,748.36 = 7,197.60 : x
  2. Step 2: Convert to fraction form
    12,862.56/17,748.36 = 7,197.60/x
  3. Step 3: Cross multiply
    12,862.56x = 17,748.36 × 7,197.60
  4. Step 4: Simplify right side
    12,862.56x = 127,745,595.94
  5. Step 5: Solve for x
    x = 127,745,595.94/12,862.56
  6. Step 6: Final answer
    x = 9,931.58

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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.