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Finding the Fourth Proportional to 1,397.80, 2,094.90 and 1,235.80

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Solution

The fourth proportional to 1,397.80, 2,094.90 and 1,235.80 is: 1,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.80 : 2,094.90 = 1,235.80 : x
  2. Step 2: Convert to fraction form
    1,397.80/2,094.90 = 1,235.80/x
  3. Step 3: Cross multiply
    1,397.80x = 2,094.90 × 1,235.80
  4. Step 4: Simplify right side
    1,397.80x = 2,588,877.42
  5. Step 5: Solve for x
    x = 2,588,877.42/1,397.80
  6. Step 6: Final answer
    x = 1,852.11

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1.5x scale

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.