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Finding the Fourth Proportional to 12,970.88, 17,895.66 and 7,667.48

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Solution

The fourth proportional to 12,970.88, 17,895.66 and 7,667.48 is: 10,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.88 : 17,895.66 = 7,667.48 : x
  2. Step 2: Convert to fraction form
    12,970.88/17,895.66 = 7,667.48/x
  3. Step 3: Cross multiply
    12,970.88x = 17,895.66 × 7,667.48
  4. Step 4: Simplify right side
    12,970.88x = 137,214,615.14
  5. Step 5: Solve for x
    x = 137,214,615.14/12,970.88
  6. Step 6: Final answer
    x = 10,578.67

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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.