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Finding the Fourth Proportional to 11,620.64, 16,038.81 and 6,904.01

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Solution

The fourth proportional to 11,620.64, 16,038.81 and 6,904.01 is: 9,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.64 : 16,038.81 = 6,904.01 : x
  2. Step 2: Convert to fraction form
    11,620.64/16,038.81 = 6,904.01/x
  3. Step 3: Cross multiply
    11,620.64x = 16,038.81 × 6,904.01
  4. Step 4: Simplify right side
    11,620.64x = 110,732,024.43
  5. Step 5: Solve for x
    x = 110,732,024.43/11,620.64
  6. Step 6: Final answer
    x = 9,528.91

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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.