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Finding the Fourth Proportional to 11,316, 15,616.08 and 6,900

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Solution

The fourth proportional to 11,316, 15,616.08 and 6,900 is: 9,522

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316 : 15,616.08 = 6,900 : x
  2. Step 2: Convert to fraction form
    11,316/15,616.08 = 6,900/x
  3. Step 3: Cross multiply
    11,316x = 15,616.08 × 6,900
  4. Step 4: Simplify right side
    11,316x = 107,750,952
  5. Step 5: Solve for x
    x = 107,750,952/11,316
  6. Step 6: Final answer
    x = 9,522

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.