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Finding the Fourth Proportional to 9,916.40, 15,166.26 and 9,916.40

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Solution

The fourth proportional to 9,916.40, 15,166.26 and 9,916.40 is: 15,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.40 : 15,166.26 = 9,916.40 : x
  2. Step 2: Convert to fraction form
    9,916.40/15,166.26 = 9,916.40/x
  3. Step 3: Cross multiply
    9,916.40x = 15,166.26 × 9,916.40
  4. Step 4: Simplify right side
    9,916.40x = 150,394,700.66
  5. Step 5: Solve for x
    x = 150,394,700.66/9,916.40
  6. Step 6: Final answer
    x = 15,166.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.