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Finding the Fourth Proportional to 13,021.58, 17,969.95 and 7,278.78

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Solution

The fourth proportional to 13,021.58, 17,969.95 and 7,278.78 is: 10,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.58 : 17,969.95 = 7,278.78 : x
  2. Step 2: Convert to fraction form
    13,021.58/17,969.95 = 7,278.78/x
  3. Step 3: Cross multiply
    13,021.58x = 17,969.95 × 7,278.78
  4. Step 4: Simplify right side
    13,021.58x = 130,799,312.66
  5. Step 5: Solve for x
    x = 130,799,312.66/13,021.58
  6. Step 6: Final answer
    x = 10,044.81

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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.