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Finding the Fourth Proportional to 9,759, 13,463.75 and 6,403.67

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Solution

The fourth proportional to 9,759, 13,463.75 and 6,403.67 is: 8,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759 : 13,463.75 = 6,403.67 : x
  2. Step 2: Convert to fraction form
    9,759/13,463.75 = 6,403.67/x
  3. Step 3: Cross multiply
    9,759x = 13,463.75 × 6,403.67
  4. Step 4: Simplify right side
    9,759x = 86,217,312.63
  5. Step 5: Solve for x
    x = 86,217,312.63/9,759
  6. Step 6: Final answer
    x = 8,834.65

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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.