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Finding the Fourth Proportional to 1,415.01, 2,121.74 and 970.79

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Solution

The fourth proportional to 1,415.01, 2,121.74 and 970.79 is: 1,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.01 : 2,121.74 = 970.79 : x
  2. Step 2: Convert to fraction form
    1,415.01/2,121.74 = 970.79/x
  3. Step 3: Cross multiply
    1,415.01x = 2,121.74 × 970.79
  4. Step 4: Simplify right side
    1,415.01x = 2,059,748.51
  5. Step 5: Solve for x
    x = 2,059,748.51/1,415.01
  6. Step 6: Final answer
    x = 1,455.64

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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.