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Finding the Fourth Proportional to 12,637.78, 17,441.78 and 10,509.67

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Solution

The fourth proportional to 12,637.78, 17,441.78 and 10,509.67 is: 14,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.78 : 17,441.78 = 10,509.67 : x
  2. Step 2: Convert to fraction form
    12,637.78/17,441.78 = 10,509.67/x
  3. Step 3: Cross multiply
    12,637.78x = 17,441.78 × 10,509.67
  4. Step 4: Simplify right side
    12,637.78x = 183,307,429.44
  5. Step 5: Solve for x
    x = 183,307,429.44/12,637.78
  6. Step 6: Final answer
    x = 14,504.71

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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.