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Finding the Fourth Proportional to 9,555.35, 14,316 and 8,154.45

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Solution

The fourth proportional to 9,555.35, 14,316 and 8,154.45 is: 12,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.35 : 14,316 = 8,154.45 : x
  2. Step 2: Convert to fraction form
    9,555.35/14,316 = 8,154.45/x
  3. Step 3: Cross multiply
    9,555.35x = 14,316 × 8,154.45
  4. Step 4: Simplify right side
    9,555.35x = 116,739,106.20
  5. Step 5: Solve for x
    x = 116,739,106.20/9,555.35
  6. Step 6: Final answer
    x = 12,217.15

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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.