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Finding the Fourth Proportional to 9,859.10, 13,603.86 and 5,878.76

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Solution

The fourth proportional to 9,859.10, 13,603.86 and 5,878.76 is: 8,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.10 : 13,603.86 = 5,878.76 : x
  2. Step 2: Convert to fraction form
    9,859.10/13,603.86 = 5,878.76/x
  3. Step 3: Cross multiply
    9,859.10x = 13,603.86 × 5,878.76
  4. Step 4: Simplify right side
    9,859.10x = 79,973,759.99
  5. Step 5: Solve for x
    x = 79,973,759.99/9,859.10
  6. Step 6: Final answer
    x = 8,111.67

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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.