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Finding the Fourth Proportional to 14,285.76, 21,423.24 and 6,888.48

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Solution

The fourth proportional to 14,285.76, 21,423.24 and 6,888.48 is: 10,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.76 : 21,423.24 = 6,888.48 : x
  2. Step 2: Convert to fraction form
    14,285.76/21,423.24 = 6,888.48/x
  3. Step 3: Cross multiply
    14,285.76x = 21,423.24 × 6,888.48
  4. Step 4: Simplify right side
    14,285.76x = 147,573,560.28
  5. Step 5: Solve for x
    x = 147,573,560.28/14,285.76
  6. Step 6: Final answer
    x = 10,330.12

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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.