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Finding the Fourth Proportional to 13,315.87, 19,971.07 and 6,292.90

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Solution

The fourth proportional to 13,315.87, 19,971.07 and 6,292.90 is: 9,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.87 : 19,971.07 = 6,292.90 : x
  2. Step 2: Convert to fraction form
    13,315.87/19,971.07 = 6,292.90/x
  3. Step 3: Cross multiply
    13,315.87x = 19,971.07 × 6,292.90
  4. Step 4: Simplify right side
    13,315.87x = 125,675,946.40
  5. Step 5: Solve for x
    x = 125,675,946.40/13,315.87
  6. Step 6: Final answer
    x = 9,438.06

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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.