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Finding the Fourth Proportional to 12,862.34, 17,750.74 and 7,825.76

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Solution

The fourth proportional to 12,862.34, 17,750.74 and 7,825.76 is: 10,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.34 : 17,750.74 = 7,825.76 : x
  2. Step 2: Convert to fraction form
    12,862.34/17,750.74 = 7,825.76/x
  3. Step 3: Cross multiply
    12,862.34x = 17,750.74 × 7,825.76
  4. Step 4: Simplify right side
    12,862.34x = 138,913,031.06
  5. Step 5: Solve for x
    x = 138,913,031.06/12,862.34
  6. Step 6: Final answer
    x = 10,799.98

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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.