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Finding the Fourth Proportional to 2,421.70, 3,632.54 and 666.72

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Solution

The fourth proportional to 2,421.70, 3,632.54 and 666.72 is: 1,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.70 : 3,632.54 = 666.72 : x
  2. Step 2: Convert to fraction form
    2,421.70/3,632.54 = 666.72/x
  3. Step 3: Cross multiply
    2,421.70x = 3,632.54 × 666.72
  4. Step 4: Simplify right side
    2,421.70x = 2,421,883.74
  5. Step 5: Solve for x
    x = 2,421,883.74/2,421.70
  6. Step 6: Final answer
    x = 1,000.08

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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.