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Finding the Fourth Proportional to 12,709.68, 19,068.12 and 6,870.48

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Solution

The fourth proportional to 12,709.68, 19,068.12 and 6,870.48 is: 10,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.68 : 19,068.12 = 6,870.48 : x
  2. Step 2: Convert to fraction form
    12,709.68/19,068.12 = 6,870.48/x
  3. Step 3: Cross multiply
    12,709.68x = 19,068.12 × 6,870.48
  4. Step 4: Simplify right side
    12,709.68x = 131,007,137.10
  5. Step 5: Solve for x
    x = 131,007,137.10/12,709.68
  6. Step 6: Final answer
    x = 10,307.67

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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.