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Finding the Fourth Proportional to 10,202, 15,288.40 and 5,810.39

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Solution

The fourth proportional to 10,202, 15,288.40 and 5,810.39 is: 8,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202 : 15,288.40 = 5,810.39 : x
  2. Step 2: Convert to fraction form
    10,202/15,288.40 = 5,810.39/x
  3. Step 3: Cross multiply
    10,202x = 15,288.40 × 5,810.39
  4. Step 4: Simplify right side
    10,202x = 88,831,566.48
  5. Step 5: Solve for x
    x = 88,831,566.48/10,202
  6. Step 6: Final answer
    x = 8,707.27

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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.