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Finding the Fourth Proportional to 9,920.22, 14,880.33 and 7,730.59

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Solution

The fourth proportional to 9,920.22, 14,880.33 and 7,730.59 is: 11,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.22 : 14,880.33 = 7,730.59 : x
  2. Step 2: Convert to fraction form
    9,920.22/14,880.33 = 7,730.59/x
  3. Step 3: Cross multiply
    9,920.22x = 14,880.33 × 7,730.59
  4. Step 4: Simplify right side
    9,920.22x = 115,033,742.74
  5. Step 5: Solve for x
    x = 115,033,742.74/9,920.22
  6. Step 6: Final answer
    x = 11,595.88

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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.