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Finding the Fourth Proportional to 11,501.64, 17,238 and 4,920.08

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Solution

The fourth proportional to 11,501.64, 17,238 and 4,920.08 is: 7,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,501.64 : 17,238 = 4,920.08 : x
  2. Step 2: Convert to fraction form
    11,501.64/17,238 = 4,920.08/x
  3. Step 3: Cross multiply
    11,501.64x = 17,238 × 4,920.08
  4. Step 4: Simplify right side
    11,501.64x = 84,812,339.04
  5. Step 5: Solve for x
    x = 84,812,339.04/11,501.64
  6. Step 6: Final answer
    x = 7,373.93

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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.