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Finding the Fourth Proportional to 27,128.54, 40,692.74 and 7,407.06

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Solution

The fourth proportional to 27,128.54, 40,692.74 and 7,407.06 is: 11,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128.54 : 40,692.74 = 7,407.06 : x
  2. Step 2: Convert to fraction form
    27,128.54/40,692.74 = 7,407.06/x
  3. Step 3: Cross multiply
    27,128.54x = 40,692.74 × 7,407.06
  4. Step 4: Simplify right side
    27,128.54x = 301,413,529.71
  5. Step 5: Solve for x
    x = 301,413,529.71/27,128.54
  6. Step 6: Final answer
    x = 11,110.57

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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.