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Finding the Fourth Proportional to 11,316, 15,615.84 and 6,280.20

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Solution

The fourth proportional to 11,316, 15,615.84 and 6,280.20 is: 8,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316 : 15,615.84 = 6,280.20 : x
  2. Step 2: Convert to fraction form
    11,316/15,615.84 = 6,280.20/x
  3. Step 3: Cross multiply
    11,316x = 15,615.84 × 6,280.20
  4. Step 4: Simplify right side
    11,316x = 98,070,598.37
  5. Step 5: Solve for x
    x = 98,070,598.37/11,316
  6. Step 6: Final answer
    x = 8,666.54

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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.