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Finding the Fourth Proportional to 10,510.56, 14,507.10 and 6,318

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Solution

The fourth proportional to 10,510.56, 14,507.10 and 6,318 is: 8,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.56 : 14,507.10 = 6,318 : x
  2. Step 2: Convert to fraction form
    10,510.56/14,507.10 = 6,318/x
  3. Step 3: Cross multiply
    10,510.56x = 14,507.10 × 6,318
  4. Step 4: Simplify right side
    10,510.56x = 91,655,857.80
  5. Step 5: Solve for x
    x = 91,655,857.80/10,510.56
  6. Step 6: Final answer
    x = 8,720.36

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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.