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Finding the Fourth Proportional to 10,215, 14,096.70 and 6,495.48

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Solution

The fourth proportional to 10,215, 14,096.70 and 6,495.48 is: 8,963.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215 : 14,096.70 = 6,495.48 : x
  2. Step 2: Convert to fraction form
    10,215/14,096.70 = 6,495.48/x
  3. Step 3: Cross multiply
    10,215x = 14,096.70 × 6,495.48
  4. Step 4: Simplify right side
    10,215x = 91,564,832.92
  5. Step 5: Solve for x
    x = 91,564,832.92/10,215
  6. Step 6: Final answer
    x = 8,963.76

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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.