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Finding the Fourth Proportional to 21,758.76, 30,026.40 and 12,804.20

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Solution

The fourth proportional to 21,758.76, 30,026.40 and 12,804.20 is: 17,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.76 : 30,026.40 = 12,804.20 : x
  2. Step 2: Convert to fraction form
    21,758.76/30,026.40 = 12,804.20/x
  3. Step 3: Cross multiply
    21,758.76x = 30,026.40 × 12,804.20
  4. Step 4: Simplify right side
    21,758.76x = 384,464,030.88
  5. Step 5: Solve for x
    x = 384,464,030.88/21,758.76
  6. Step 6: Final answer
    x = 17,669.39

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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.