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Finding the Fourth Proportional to 1,450.10, 2,000.45 and 1,051.12

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Solution

The fourth proportional to 1,450.10, 2,000.45 and 1,051.12 is: 1,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.10 : 2,000.45 = 1,051.12 : x
  2. Step 2: Convert to fraction form
    1,450.10/2,000.45 = 1,051.12/x
  3. Step 3: Cross multiply
    1,450.10x = 2,000.45 × 1,051.12
  4. Step 4: Simplify right side
    1,450.10x = 2,102,718.13
  5. Step 5: Solve for x
    x = 2,102,718.13/1,450.10
  6. Step 6: Final answer
    x = 1,450.05

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1.5x scale

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.