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Finding the Fourth Proportional to 12,897.90, 19,322.82 and 10,831.32

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Solution

The fourth proportional to 12,897.90, 19,322.82 and 10,831.32 is: 16,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.90 : 19,322.82 = 10,831.32 : x
  2. Step 2: Convert to fraction form
    12,897.90/19,322.82 = 10,831.32/x
  3. Step 3: Cross multiply
    12,897.90x = 19,322.82 × 10,831.32
  4. Step 4: Simplify right side
    12,897.90x = 209,291,646.72
  5. Step 5: Solve for x
    x = 209,291,646.72/12,897.90
  6. Step 6: Final answer
    x = 16,226.80

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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.