Home / 2,130-2,941.08-1,690.20

Finding the Fourth Proportional to 2,130, 2,941.08 and 1,690.20

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Solution

The fourth proportional to 2,130, 2,941.08 and 1,690.20 is: 2,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130 : 2,941.08 = 1,690.20 : x
  2. Step 2: Convert to fraction form
    2,130/2,941.08 = 1,690.20/x
  3. Step 3: Cross multiply
    2,130x = 2,941.08 × 1,690.20
  4. Step 4: Simplify right side
    2,130x = 4,971,013.42
  5. Step 5: Solve for x
    x = 4,971,013.42/2,130
  6. Step 6: Final answer
    x = 2,333.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.