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Finding the Fourth Proportional to 10,497.87, 14,488.11 and 7,840.67

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Solution

The fourth proportional to 10,497.87, 14,488.11 and 7,840.67 is: 10,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.87 : 14,488.11 = 7,840.67 : x
  2. Step 2: Convert to fraction form
    10,497.87/14,488.11 = 7,840.67/x
  3. Step 3: Cross multiply
    10,497.87x = 14,488.11 × 7,840.67
  4. Step 4: Simplify right side
    10,497.87x = 113,596,416.99
  5. Step 5: Solve for x
    x = 113,596,416.99/10,497.87
  6. Step 6: Final answer
    x = 10,820.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.