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Finding the Fourth Proportional to 1,894.80, 2,840.40 and 1,700.40

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Solution

The fourth proportional to 1,894.80, 2,840.40 and 1,700.40 is: 2,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.80 : 2,840.40 = 1,700.40 : x
  2. Step 2: Convert to fraction form
    1,894.80/2,840.40 = 1,700.40/x
  3. Step 3: Cross multiply
    1,894.80x = 2,840.40 × 1,700.40
  4. Step 4: Simplify right side
    1,894.80x = 4,829,816.16
  5. Step 5: Solve for x
    x = 4,829,816.16/1,894.80
  6. Step 6: Final answer
    x = 2,548.98

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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.