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Finding the Fourth Proportional to 7,972, 11,001.36 and 4,660

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Solution

The fourth proportional to 7,972, 11,001.36 and 4,660 is: 6,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 11,001.36 = 4,660 : x
  2. Step 2: Convert to fraction form
    7,972/11,001.36 = 4,660/x
  3. Step 3: Cross multiply
    7,972x = 11,001.36 × 4,660
  4. Step 4: Simplify right side
    7,972x = 51,266,337.60
  5. Step 5: Solve for x
    x = 51,266,337.60/7,972
  6. Step 6: Final answer
    x = 6,430.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.