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Finding the Fourth Proportional to 31,648.65, 47,477.70 and 11,656.62

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Solution

The fourth proportional to 31,648.65, 47,477.70 and 11,656.62 is: 17,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.65 : 47,477.70 = 11,656.62 : x
  2. Step 2: Convert to fraction form
    31,648.65/47,477.70 = 11,656.62/x
  3. Step 3: Cross multiply
    31,648.65x = 47,477.70 × 11,656.62
  4. Step 4: Simplify right side
    31,648.65x = 553,429,507.37
  5. Step 5: Solve for x
    x = 553,429,507.37/31,648.65
  6. Step 6: Final answer
    x = 17,486.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.