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Finding the Fourth Proportional to 30,871.53, 46,302.47 and 9,808.80

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Solution

The fourth proportional to 30,871.53, 46,302.47 and 9,808.80 is: 14,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,871.53 : 46,302.47 = 9,808.80 : x
  2. Step 2: Convert to fraction form
    30,871.53/46,302.47 = 9,808.80/x
  3. Step 3: Cross multiply
    30,871.53x = 46,302.47 × 9,808.80
  4. Step 4: Simplify right side
    30,871.53x = 454,171,618.69
  5. Step 5: Solve for x
    x = 454,171,618.69/30,871.53
  6. Step 6: Final answer
    x = 14,711.67

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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.