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Finding the Fourth Proportional to 3,477.18, 4,798.38 and 1,905.24

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Solution

The fourth proportional to 3,477.18, 4,798.38 and 1,905.24 is: 2,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.18 : 4,798.38 = 1,905.24 : x
  2. Step 2: Convert to fraction form
    3,477.18/4,798.38 = 1,905.24/x
  3. Step 3: Cross multiply
    3,477.18x = 4,798.38 × 1,905.24
  4. Step 4: Simplify right side
    3,477.18x = 9,142,065.51
  5. Step 5: Solve for x
    x = 9,142,065.51/3,477.18
  6. Step 6: Final answer
    x = 2,629.16

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1.5x scale

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.