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Finding the Fourth Proportional to 15,916.63, 21,965.42 and 9,201.66

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Solution

The fourth proportional to 15,916.63, 21,965.42 and 9,201.66 is: 12,698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.63 : 21,965.42 = 9,201.66 : x
  2. Step 2: Convert to fraction form
    15,916.63/21,965.42 = 9,201.66/x
  3. Step 3: Cross multiply
    15,916.63x = 21,965.42 × 9,201.66
  4. Step 4: Simplify right side
    15,916.63x = 202,118,373.53
  5. Step 5: Solve for x
    x = 202,118,373.53/15,916.63
  6. Step 6: Final answer
    x = 12,698.57

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1.5x scale

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.