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Finding the Fourth Proportional to 2,123.55, 2,975.40 and 2,123.55

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Solution

The fourth proportional to 2,123.55, 2,975.40 and 2,123.55 is: 2,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.55 : 2,975.40 = 2,123.55 : x
  2. Step 2: Convert to fraction form
    2,123.55/2,975.40 = 2,123.55/x
  3. Step 3: Cross multiply
    2,123.55x = 2,975.40 × 2,123.55
  4. Step 4: Simplify right side
    2,123.55x = 6,318,410.67
  5. Step 5: Solve for x
    x = 6,318,410.67/2,123.55
  6. Step 6: Final answer
    x = 2,975.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.