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Finding the Fourth Proportional to 9,111.29, 13,666.93 and 3,917.16

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Solution

The fourth proportional to 9,111.29, 13,666.93 and 3,917.16 is: 5,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.29 : 13,666.93 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    9,111.29/13,666.93 = 3,917.16/x
  3. Step 3: Cross multiply
    9,111.29x = 13,666.93 × 3,917.16
  4. Step 4: Simplify right side
    9,111.29x = 53,535,541.73
  5. Step 5: Solve for x
    x = 53,535,541.73/9,111.29
  6. Step 6: Final answer
    x = 5,875.74

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1.5x scale

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.