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Finding the Fourth Proportional to 10,360.50, 15,543.21 and 3,435

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Solution

The fourth proportional to 10,360.50, 15,543.21 and 3,435 is: 5,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.50 : 15,543.21 = 3,435 : x
  2. Step 2: Convert to fraction form
    10,360.50/15,543.21 = 3,435/x
  3. Step 3: Cross multiply
    10,360.50x = 15,543.21 × 3,435
  4. Step 4: Simplify right side
    10,360.50x = 53,390,926.35
  5. Step 5: Solve for x
    x = 53,390,926.35/10,360.50
  6. Step 6: Final answer
    x = 5,153.32

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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.