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Finding the Fourth Proportional to 4,440, 6,127.20 and 2,784

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Solution

The fourth proportional to 4,440, 6,127.20 and 2,784 is: 3,841.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440 : 6,127.20 = 2,784 : x
  2. Step 2: Convert to fraction form
    4,440/6,127.20 = 2,784/x
  3. Step 3: Cross multiply
    4,440x = 6,127.20 × 2,784
  4. Step 4: Simplify right side
    4,440x = 17,058,124.80
  5. Step 5: Solve for x
    x = 17,058,124.80/4,440
  6. Step 6: Final answer
    x = 3,841.92

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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.