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Finding the Fourth Proportional to 25,215, 34,798.86 and 14,039.16

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Solution

The fourth proportional to 25,215, 34,798.86 and 14,039.16 is: 19,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,215 : 34,798.86 = 14,039.16 : x
  2. Step 2: Convert to fraction form
    25,215/34,798.86 = 14,039.16/x
  3. Step 3: Cross multiply
    25,215x = 34,798.86 × 14,039.16
  4. Step 4: Simplify right side
    25,215x = 488,546,763.36
  5. Step 5: Solve for x
    x = 488,546,763.36/25,215
  6. Step 6: Final answer
    x = 19,375.24

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1.5x scale

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.