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Finding the Fourth Proportional to 7,837.79, 11,763.23 and 7,345.17

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Solution

The fourth proportional to 7,837.79, 11,763.23 and 7,345.17 is: 11,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.79 : 11,763.23 = 7,345.17 : x
  2. Step 2: Convert to fraction form
    7,837.79/11,763.23 = 7,345.17/x
  3. Step 3: Cross multiply
    7,837.79x = 11,763.23 × 7,345.17
  4. Step 4: Simplify right side
    7,837.79x = 86,402,887.37
  5. Step 5: Solve for x
    x = 86,402,887.37/7,837.79
  6. Step 6: Final answer
    x = 11,023.89

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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.