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Finding the Fourth Proportional to 22,440, 30,967.03 and 12,368.44

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Solution

The fourth proportional to 22,440, 30,967.03 and 12,368.44 is: 17,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,440 : 30,967.03 = 12,368.44 : x
  2. Step 2: Convert to fraction form
    22,440/30,967.03 = 12,368.44/x
  3. Step 3: Cross multiply
    22,440x = 30,967.03 × 12,368.44
  4. Step 4: Simplify right side
    22,440x = 383,013,852.53
  5. Step 5: Solve for x
    x = 383,013,852.53/22,440
  6. Step 6: Final answer
    x = 17,068.35

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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.