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Finding the Fourth Proportional to 12,993.89, 17,931.65 and 7,328.68

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Solution

The fourth proportional to 12,993.89, 17,931.65 and 7,328.68 is: 10,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.89 : 17,931.65 = 7,328.68 : x
  2. Step 2: Convert to fraction form
    12,993.89/17,931.65 = 7,328.68/x
  3. Step 3: Cross multiply
    12,993.89x = 17,931.65 × 7,328.68
  4. Step 4: Simplify right side
    12,993.89x = 131,415,243.25
  5. Step 5: Solve for x
    x = 131,415,243.25/12,993.89
  6. Step 6: Final answer
    x = 10,113.62

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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.