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Finding the Fourth Proportional to 25,420, 35,081.76 and 14,244.16

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Solution

The fourth proportional to 25,420, 35,081.76 and 14,244.16 is: 19,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,420 : 35,081.76 = 14,244.16 : x
  2. Step 2: Convert to fraction form
    25,420/35,081.76 = 14,244.16/x
  3. Step 3: Cross multiply
    25,420x = 35,081.76 × 14,244.16
  4. Step 4: Simplify right side
    25,420x = 499,710,202.52
  5. Step 5: Solve for x
    x = 499,710,202.52/25,420
  6. Step 6: Final answer
    x = 19,658.15

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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.