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Finding the Fourth Proportional to 2,698.92, 4,045.80 and 1,054.08

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Solution

The fourth proportional to 2,698.92, 4,045.80 and 1,054.08 is: 1,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.92 : 4,045.80 = 1,054.08 : x
  2. Step 2: Convert to fraction form
    2,698.92/4,045.80 = 1,054.08/x
  3. Step 3: Cross multiply
    2,698.92x = 4,045.80 × 1,054.08
  4. Step 4: Simplify right side
    2,698.92x = 4,264,596.86
  5. Step 5: Solve for x
    x = 4,264,596.86/2,698.92
  6. Step 6: Final answer
    x = 1,580.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.