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Finding the Fourth Proportional to 2,953.84, 4,430.74 and 1,638.40

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Solution

The fourth proportional to 2,953.84, 4,430.74 and 1,638.40 is: 2,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.84 : 4,430.74 = 1,638.40 : x
  2. Step 2: Convert to fraction form
    2,953.84/4,430.74 = 1,638.40/x
  3. Step 3: Cross multiply
    2,953.84x = 4,430.74 × 1,638.40
  4. Step 4: Simplify right side
    2,953.84x = 7,259,324.42
  5. Step 5: Solve for x
    x = 7,259,324.42/2,953.84
  6. Step 6: Final answer
    x = 2,457.59

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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.