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Finding the Fourth Proportional to 30,966.56, 46,449.74 and 8,780.12

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Solution

The fourth proportional to 30,966.56, 46,449.74 and 8,780.12 is: 13,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.56 : 46,449.74 = 8,780.12 : x
  2. Step 2: Convert to fraction form
    30,966.56/46,449.74 = 8,780.12/x
  3. Step 3: Cross multiply
    30,966.56x = 46,449.74 × 8,780.12
  4. Step 4: Simplify right side
    30,966.56x = 407,834,291.17
  5. Step 5: Solve for x
    x = 407,834,291.17/30,966.56
  6. Step 6: Final answer
    x = 13,170.15

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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.