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Finding the Fourth Proportional to 11,883.70, 16,430.82 and 10,407.48

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Solution

The fourth proportional to 11,883.70, 16,430.82 and 10,407.48 is: 14,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.70 : 16,430.82 = 10,407.48 : x
  2. Step 2: Convert to fraction form
    11,883.70/16,430.82 = 10,407.48/x
  3. Step 3: Cross multiply
    11,883.70x = 16,430.82 × 10,407.48
  4. Step 4: Simplify right side
    11,883.70x = 171,003,430.53
  5. Step 5: Solve for x
    x = 171,003,430.53/11,883.70
  6. Step 6: Final answer
    x = 14,389.75

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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.