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Finding the Fourth Proportional to 14,569, 21,853.20 and 4,716.40

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Solution

The fourth proportional to 14,569, 21,853.20 and 4,716.40 is: 7,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569 : 21,853.20 = 4,716.40 : x
  2. Step 2: Convert to fraction form
    14,569/21,853.20 = 4,716.40/x
  3. Step 3: Cross multiply
    14,569x = 21,853.20 × 4,716.40
  4. Step 4: Simplify right side
    14,569x = 103,068,432.48
  5. Step 5: Solve for x
    x = 103,068,432.48/14,569
  6. Step 6: Final answer
    x = 7,074.50

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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.