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Finding the Fourth Proportional to 4,643.04, 6,407.60 and 2,780

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Solution

The fourth proportional to 4,643.04, 6,407.60 and 2,780 is: 3,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.04 : 6,407.60 = 2,780 : x
  2. Step 2: Convert to fraction form
    4,643.04/6,407.60 = 2,780/x
  3. Step 3: Cross multiply
    4,643.04x = 6,407.60 × 2,780
  4. Step 4: Simplify right side
    4,643.04x = 17,813,128
  5. Step 5: Solve for x
    x = 17,813,128/4,643.04
  6. Step 6: Final answer
    x = 3,836.52

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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.