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Finding the Fourth Proportional to 2,100.90, 3,151.38 and 930.30

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Solution

The fourth proportional to 2,100.90, 3,151.38 and 930.30 is: 1,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.90 : 3,151.38 = 930.30 : x
  2. Step 2: Convert to fraction form
    2,100.90/3,151.38 = 930.30/x
  3. Step 3: Cross multiply
    2,100.90x = 3,151.38 × 930.30
  4. Step 4: Simplify right side
    2,100.90x = 2,931,728.81
  5. Step 5: Solve for x
    x = 2,931,728.81/2,100.90
  6. Step 6: Final answer
    x = 1,395.46

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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.