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Finding the Fourth Proportional to 12,971.30, 19,425.74 and 7,407.77

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Solution

The fourth proportional to 12,971.30, 19,425.74 and 7,407.77 is: 11,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.30 : 19,425.74 = 7,407.77 : x
  2. Step 2: Convert to fraction form
    12,971.30/19,425.74 = 7,407.77/x
  3. Step 3: Cross multiply
    12,971.30x = 19,425.74 × 7,407.77
  4. Step 4: Simplify right side
    12,971.30x = 143,901,279.83
  5. Step 5: Solve for x
    x = 143,901,279.83/12,971.30
  6. Step 6: Final answer
    x = 11,093.83

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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.