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Finding the Fourth Proportional to 9,620.64, 14,426.64 and 4,428

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Solution

The fourth proportional to 9,620.64, 14,426.64 and 4,428 is: 6,640.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.64 : 14,426.64 = 4,428 : x
  2. Step 2: Convert to fraction form
    9,620.64/14,426.64 = 4,428/x
  3. Step 3: Cross multiply
    9,620.64x = 14,426.64 × 4,428
  4. Step 4: Simplify right side
    9,620.64x = 63,881,161.92
  5. Step 5: Solve for x
    x = 63,881,161.92/9,620.64
  6. Step 6: Final answer
    x = 6,640.01

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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.