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Finding the Fourth Proportional to 10,365.50, 15,548.30 and 3,440

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Solution

The fourth proportional to 10,365.50, 15,548.30 and 3,440 is: 5,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.50 : 15,548.30 = 3,440 : x
  2. Step 2: Convert to fraction form
    10,365.50/15,548.30 = 3,440/x
  3. Step 3: Cross multiply
    10,365.50x = 15,548.30 × 3,440
  4. Step 4: Simplify right side
    10,365.50x = 53,486,152
  5. Step 5: Solve for x
    x = 53,486,152/10,365.50
  6. Step 6: Final answer
    x = 5,160.02

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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.