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Finding the Fourth Proportional to 30,970.66, 46,455.90 and 8,784.04

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Solution

The fourth proportional to 30,970.66, 46,455.90 and 8,784.04 is: 13,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.66 : 46,455.90 = 8,784.04 : x
  2. Step 2: Convert to fraction form
    30,970.66/46,455.90 = 8,784.04/x
  3. Step 3: Cross multiply
    30,970.66x = 46,455.90 × 8,784.04
  4. Step 4: Simplify right side
    30,970.66x = 408,070,483.84
  5. Step 5: Solve for x
    x = 408,070,483.84/30,970.66
  6. Step 6: Final answer
    x = 13,176.03

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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.