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Finding the Fourth Proportional to 30,787.76, 46,106.04 and 19,661.60

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Solution

The fourth proportional to 30,787.76, 46,106.04 and 19,661.60 is: 29,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,787.76 : 46,106.04 = 19,661.60 : x
  2. Step 2: Convert to fraction form
    30,787.76/46,106.04 = 19,661.60/x
  3. Step 3: Cross multiply
    30,787.76x = 46,106.04 × 19,661.60
  4. Step 4: Simplify right side
    30,787.76x = 906,518,516.06
  5. Step 5: Solve for x
    x = 906,518,516.06/30,787.76
  6. Step 6: Final answer
    x = 29,444.12

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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.