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Finding the Fourth Proportional to 21,509.76, 29,683.82 and 12,078.12

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Solution

The fourth proportional to 21,509.76, 29,683.82 and 12,078.12 is: 16,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.76 : 29,683.82 = 12,078.12 : x
  2. Step 2: Convert to fraction form
    21,509.76/29,683.82 = 12,078.12/x
  3. Step 3: Cross multiply
    21,509.76x = 29,683.82 × 12,078.12
  4. Step 4: Simplify right side
    21,509.76x = 358,524,740.02
  5. Step 5: Solve for x
    x = 358,524,740.02/21,509.76
  6. Step 6: Final answer
    x = 16,668.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.