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Finding the Fourth Proportional to 9,855, 14,856.80 and 9,220.77

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Solution

The fourth proportional to 9,855, 14,856.80 and 9,220.77 is: 13,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855 : 14,856.80 = 9,220.77 : x
  2. Step 2: Convert to fraction form
    9,855/14,856.80 = 9,220.77/x
  3. Step 3: Cross multiply
    9,855x = 14,856.80 × 9,220.77
  4. Step 4: Simplify right side
    9,855x = 136,991,089.63
  5. Step 5: Solve for x
    x = 136,991,089.63/9,855
  6. Step 6: Final answer
    x = 13,900.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.