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Finding the Fourth Proportional to 19,990.64, 29,969.76 and 8,312.60

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Solution

The fourth proportional to 19,990.64, 29,969.76 and 8,312.60 is: 12,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.64 : 29,969.76 = 8,312.60 : x
  2. Step 2: Convert to fraction form
    19,990.64/29,969.76 = 8,312.60/x
  3. Step 3: Cross multiply
    19,990.64x = 29,969.76 × 8,312.60
  4. Step 4: Simplify right side
    19,990.64x = 249,126,626.98
  5. Step 5: Solve for x
    x = 249,126,626.98/19,990.64
  6. Step 6: Final answer
    x = 12,462.16

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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.