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Finding the Fourth Proportional to 15,031.76, 20,724.93 and 9,644.66

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Solution

The fourth proportional to 15,031.76, 20,724.93 and 9,644.66 is: 13,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.76 : 20,724.93 = 9,644.66 : x
  2. Step 2: Convert to fraction form
    15,031.76/20,724.93 = 9,644.66/x
  3. Step 3: Cross multiply
    15,031.76x = 20,724.93 × 9,644.66
  4. Step 4: Simplify right side
    15,031.76x = 199,884,903.37
  5. Step 5: Solve for x
    x = 199,884,903.37/15,031.76
  6. Step 6: Final answer
    x = 13,297.50

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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.