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Finding the Fourth Proportional to 3,670.40, 5,506.41 and 1,590.74

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Solution

The fourth proportional to 3,670.40, 5,506.41 and 1,590.74 is: 2,386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.40 : 5,506.41 = 1,590.74 : x
  2. Step 2: Convert to fraction form
    3,670.40/5,506.41 = 1,590.74/x
  3. Step 3: Cross multiply
    3,670.40x = 5,506.41 × 1,590.74
  4. Step 4: Simplify right side
    3,670.40x = 8,759,239.11
  5. Step 5: Solve for x
    x = 8,759,239.11/3,670.40
  6. Step 6: Final answer
    x = 2,386.46

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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.