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Finding the Fourth Proportional to 15,838.64, 23,762.45 and 7,931.62

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Solution

The fourth proportional to 15,838.64, 23,762.45 and 7,931.62 is: 11,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.64 : 23,762.45 = 7,931.62 : x
  2. Step 2: Convert to fraction form
    15,838.64/23,762.45 = 7,931.62/x
  3. Step 3: Cross multiply
    15,838.64x = 23,762.45 × 7,931.62
  4. Step 4: Simplify right side
    15,838.64x = 188,474,684.09
  5. Step 5: Solve for x
    x = 188,474,684.09/15,838.64
  6. Step 6: Final answer
    x = 11,899.67

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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.