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Finding the Fourth Proportional to 8,288.64, 12,428.28 and 7,582.50

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Solution

The fourth proportional to 8,288.64, 12,428.28 and 7,582.50 is: 11,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.64 : 12,428.28 = 7,582.50 : x
  2. Step 2: Convert to fraction form
    8,288.64/12,428.28 = 7,582.50/x
  3. Step 3: Cross multiply
    8,288.64x = 12,428.28 × 7,582.50
  4. Step 4: Simplify right side
    8,288.64x = 94,237,433.10
  5. Step 5: Solve for x
    x = 94,237,433.10/8,288.64
  6. Step 6: Final answer
    x = 11,369.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.