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Finding the Fourth Proportional to 1,603.09, 2,211.26 and 973.00

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Solution

The fourth proportional to 1,603.09, 2,211.26 and 973.00 is: 1,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.09 : 2,211.26 = 973.00 : x
  2. Step 2: Convert to fraction form
    1,603.09/2,211.26 = 973.00/x
  3. Step 3: Cross multiply
    1,603.09x = 2,211.26 × 973.00
  4. Step 4: Simplify right side
    1,603.09x = 2,151,561.11
  5. Step 5: Solve for x
    x = 2,151,561.11/1,603.09
  6. Step 6: Final answer
    x = 1,342.14

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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.