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Finding the Fourth Proportional to 27,980.40, 41,963.69 and 17,445

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Solution

The fourth proportional to 27,980.40, 41,963.69 and 17,445 is: 26,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.40 : 41,963.69 = 17,445 : x
  2. Step 2: Convert to fraction form
    27,980.40/41,963.69 = 17,445/x
  3. Step 3: Cross multiply
    27,980.40x = 41,963.69 × 17,445
  4. Step 4: Simplify right side
    27,980.40x = 732,056,484.83
  5. Step 5: Solve for x
    x = 732,056,484.83/27,980.40
  6. Step 6: Final answer
    x = 26,163.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.