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Finding the Fourth Proportional to 30,482.88, 45,730.16 and 10,759.20

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Solution

The fourth proportional to 30,482.88, 45,730.16 and 10,759.20 is: 16,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.88 : 45,730.16 = 10,759.20 : x
  2. Step 2: Convert to fraction form
    30,482.88/45,730.16 = 10,759.20/x
  3. Step 3: Cross multiply
    30,482.88x = 45,730.16 × 10,759.20
  4. Step 4: Simplify right side
    30,482.88x = 492,019,937.47
  5. Step 5: Solve for x
    x = 492,019,937.47/30,482.88
  6. Step 6: Final answer
    x = 16,140.86

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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.