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Finding the Fourth Proportional to 8,254, 11,390.72 and 4,528

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Solution

The fourth proportional to 8,254, 11,390.72 and 4,528 is: 6,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254 : 11,390.72 = 4,528 : x
  2. Step 2: Convert to fraction form
    8,254/11,390.72 = 4,528/x
  3. Step 3: Cross multiply
    8,254x = 11,390.72 × 4,528
  4. Step 4: Simplify right side
    8,254x = 51,577,180.16
  5. Step 5: Solve for x
    x = 51,577,180.16/8,254
  6. Step 6: Final answer
    x = 6,248.75

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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.