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Finding the Fourth Proportional to 9,729, 14,595.80 and 3,155.17

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Solution

The fourth proportional to 9,729, 14,595.80 and 3,155.17 is: 4,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 14,595.80 = 3,155.17 : x
  2. Step 2: Convert to fraction form
    9,729/14,595.80 = 3,155.17/x
  3. Step 3: Cross multiply
    9,729x = 14,595.80 × 3,155.17
  4. Step 4: Simplify right side
    9,729x = 46,052,230.29
  5. Step 5: Solve for x
    x = 46,052,230.29/9,729
  6. Step 6: Final answer
    x = 4,733.50

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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.