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Finding the Fourth Proportional to 8,972, 13,460.16 and 2,816

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Solution

The fourth proportional to 8,972, 13,460.16 and 2,816 is: 4,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972 : 13,460.16 = 2,816 : x
  2. Step 2: Convert to fraction form
    8,972/13,460.16 = 2,816/x
  3. Step 3: Cross multiply
    8,972x = 13,460.16 × 2,816
  4. Step 4: Simplify right side
    8,972x = 37,903,810.56
  5. Step 5: Solve for x
    x = 37,903,810.56/8,972
  6. Step 6: Final answer
    x = 4,224.68

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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.