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Finding the Fourth Proportional to 14,411.72, 21,599.40 and 7,824.08

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Solution

The fourth proportional to 14,411.72, 21,599.40 and 7,824.08 is: 11,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.72 : 21,599.40 = 7,824.08 : x
  2. Step 2: Convert to fraction form
    14,411.72/21,599.40 = 7,824.08/x
  3. Step 3: Cross multiply
    14,411.72x = 21,599.40 × 7,824.08
  4. Step 4: Simplify right side
    14,411.72x = 168,995,433.55
  5. Step 5: Solve for x
    x = 168,995,433.55/14,411.72
  6. Step 6: Final answer
    x = 11,726.25

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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.