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Finding the Fourth Proportional to 1,214.09, 1,821.08 and 972.15

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Solution

The fourth proportional to 1,214.09, 1,821.08 and 972.15 is: 1,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.09 : 1,821.08 = 972.15 : x
  2. Step 2: Convert to fraction form
    1,214.09/1,821.08 = 972.15/x
  3. Step 3: Cross multiply
    1,214.09x = 1,821.08 × 972.15
  4. Step 4: Simplify right side
    1,214.09x = 1,770,368.77
  5. Step 5: Solve for x
    x = 1,770,368.77/1,214.09
  6. Step 6: Final answer
    x = 1,458.19

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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.