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Finding the Fourth Proportional to 19,220, 28,831.89 and 5,369

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Solution

The fourth proportional to 19,220, 28,831.89 and 5,369 is: 8,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,220 : 28,831.89 = 5,369 : x
  2. Step 2: Convert to fraction form
    19,220/28,831.89 = 5,369/x
  3. Step 3: Cross multiply
    19,220x = 28,831.89 × 5,369
  4. Step 4: Simplify right side
    19,220x = 154,798,417.41
  5. Step 5: Solve for x
    x = 154,798,417.41/19,220
  6. Step 6: Final answer
    x = 8,054.03

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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.