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Finding the Fourth Proportional to 9,423, 14,134.50 and 5,319

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Solution

The fourth proportional to 9,423, 14,134.50 and 5,319 is: 7,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423 : 14,134.50 = 5,319 : x
  2. Step 2: Convert to fraction form
    9,423/14,134.50 = 5,319/x
  3. Step 3: Cross multiply
    9,423x = 14,134.50 × 5,319
  4. Step 4: Simplify right side
    9,423x = 75,181,405.50
  5. Step 5: Solve for x
    x = 75,181,405.50/9,423
  6. Step 6: Final answer
    x = 7,978.50

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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.