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Finding the Fourth Proportional to 9,980.23, 14,907.14 and 7,765.90

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Solution

The fourth proportional to 9,980.23, 14,907.14 and 7,765.90 is: 11,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.23 : 14,907.14 = 7,765.90 : x
  2. Step 2: Convert to fraction form
    9,980.23/14,907.14 = 7,765.90/x
  3. Step 3: Cross multiply
    9,980.23x = 14,907.14 × 7,765.90
  4. Step 4: Simplify right side
    9,980.23x = 115,767,358.53
  5. Step 5: Solve for x
    x = 115,767,358.53/9,980.23
  6. Step 6: Final answer
    x = 11,599.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.