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Finding the Fourth Proportional to 11,357.01, 15,685.84 and 7,574

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Solution

The fourth proportional to 11,357.01, 15,685.84 and 7,574 is: 10,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.01 : 15,685.84 = 7,574 : x
  2. Step 2: Convert to fraction form
    11,357.01/15,685.84 = 7,574/x
  3. Step 3: Cross multiply
    11,357.01x = 15,685.84 × 7,574
  4. Step 4: Simplify right side
    11,357.01x = 118,804,514.29
  5. Step 5: Solve for x
    x = 118,804,514.29/11,357.01
  6. Step 6: Final answer
    x = 10,460.90

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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.