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Finding the Fourth Proportional to 2,390.96, 3,590.22 and 1,421.40

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Solution

The fourth proportional to 2,390.96, 3,590.22 and 1,421.40 is: 2,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.96 : 3,590.22 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    2,390.96/3,590.22 = 1,421.40/x
  3. Step 3: Cross multiply
    2,390.96x = 3,590.22 × 1,421.40
  4. Step 4: Simplify right side
    2,390.96x = 5,103,138.71
  5. Step 5: Solve for x
    x = 5,103,138.71/2,390.96
  6. Step 6: Final answer
    x = 2,134.35

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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.