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Finding the Fourth Proportional to 25,240, 37,864.88 and 11,389

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Solution

The fourth proportional to 25,240, 37,864.88 and 11,389 is: 17,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,240 : 37,864.88 = 11,389 : x
  2. Step 2: Convert to fraction form
    25,240/37,864.88 = 11,389/x
  3. Step 3: Cross multiply
    25,240x = 37,864.88 × 11,389
  4. Step 4: Simplify right side
    25,240x = 431,243,118.32
  5. Step 5: Solve for x
    x = 431,243,118.32/25,240
  6. Step 6: Final answer
    x = 17,085.70

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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.