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Finding the Fourth Proportional to 10,318, 14,239.15 and 5,602.59

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Solution

The fourth proportional to 10,318, 14,239.15 and 5,602.59 is: 7,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318 : 14,239.15 = 5,602.59 : x
  2. Step 2: Convert to fraction form
    10,318/14,239.15 = 5,602.59/x
  3. Step 3: Cross multiply
    10,318x = 14,239.15 × 5,602.59
  4. Step 4: Simplify right side
    10,318x = 79,776,119.40
  5. Step 5: Solve for x
    x = 79,776,119.40/10,318
  6. Step 6: Final answer
    x = 7,731.74

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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.