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Finding the Fourth Proportional to 8,538.47, 11,784.05 and 5,182.10

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Solution

The fourth proportional to 8,538.47, 11,784.05 and 5,182.10 is: 7,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.47 : 11,784.05 = 5,182.10 : x
  2. Step 2: Convert to fraction form
    8,538.47/11,784.05 = 5,182.10/x
  3. Step 3: Cross multiply
    8,538.47x = 11,784.05 × 5,182.10
  4. Step 4: Simplify right side
    8,538.47x = 61,066,125.51
  5. Step 5: Solve for x
    x = 61,066,125.51/8,538.47
  6. Step 6: Final answer
    x = 7,151.88

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1.5x scale

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.