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Finding the Fourth Proportional to 1,803.42, 2,488.46 and 1,057.10

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Solution

The fourth proportional to 1,803.42, 2,488.46 and 1,057.10 is: 1,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.42 : 2,488.46 = 1,057.10 : x
  2. Step 2: Convert to fraction form
    1,803.42/2,488.46 = 1,057.10/x
  3. Step 3: Cross multiply
    1,803.42x = 2,488.46 × 1,057.10
  4. Step 4: Simplify right side
    1,803.42x = 2,630,533.34
  5. Step 5: Solve for x
    x = 2,630,533.34/1,803.42
  6. Step 6: Final answer
    x = 1,458.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.