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Finding the Fourth Proportional to 2,271.51, 3,408.64 and 972.99

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Solution

The fourth proportional to 2,271.51, 3,408.64 and 972.99 is: 1,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.51 : 3,408.64 = 972.99 : x
  2. Step 2: Convert to fraction form
    2,271.51/3,408.64 = 972.99/x
  3. Step 3: Cross multiply
    2,271.51x = 3,408.64 × 972.99
  4. Step 4: Simplify right side
    2,271.51x = 3,316,570.20
  5. Step 5: Solve for x
    x = 3,316,570.20/2,271.51
  6. Step 6: Final answer
    x = 1,460.07

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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.