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Finding the Fourth Proportional to 12,897.90, 19,352.94 and 7,054.32

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Solution

The fourth proportional to 12,897.90, 19,352.94 and 7,054.32 is: 10,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.90 : 19,352.94 = 7,054.32 : x
  2. Step 2: Convert to fraction form
    12,897.90/19,352.94 = 7,054.32/x
  3. Step 3: Cross multiply
    12,897.90x = 19,352.94 × 7,054.32
  4. Step 4: Simplify right side
    12,897.90x = 136,521,831.70
  5. Step 5: Solve for x
    x = 136,521,831.70/12,897.90
  6. Step 6: Final answer
    x = 10,584.81

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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.