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Finding the Fourth Proportional to 8,276, 11,421.36 and 4,740.32

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Solution

The fourth proportional to 8,276, 11,421.36 and 4,740.32 is: 6,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276 : 11,421.36 = 4,740.32 : x
  2. Step 2: Convert to fraction form
    8,276/11,421.36 = 4,740.32/x
  3. Step 3: Cross multiply
    8,276x = 11,421.36 × 4,740.32
  4. Step 4: Simplify right side
    8,276x = 54,140,901.24
  5. Step 5: Solve for x
    x = 54,140,901.24/8,276
  6. Step 6: Final answer
    x = 6,541.92

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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.