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Finding the Fourth Proportional to 18,486.84, 25,509.06 and 10,420.14

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Solution

The fourth proportional to 18,486.84, 25,509.06 and 10,420.14 is: 14,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486.84 : 25,509.06 = 10,420.14 : x
  2. Step 2: Convert to fraction form
    18,486.84/25,509.06 = 10,420.14/x
  3. Step 3: Cross multiply
    18,486.84x = 25,509.06 × 10,420.14
  4. Step 4: Simplify right side
    18,486.84x = 265,807,976.47
  5. Step 5: Solve for x
    x = 265,807,976.47/18,486.84
  6. Step 6: Final answer
    x = 14,378.23

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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.