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Finding the Fourth Proportional to 13,565.58, 18,721.60 and 7,824.90

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Solution

The fourth proportional to 13,565.58, 18,721.60 and 7,824.90 is: 10,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.58 : 18,721.60 = 7,824.90 : x
  2. Step 2: Convert to fraction form
    13,565.58/18,721.60 = 7,824.90/x
  3. Step 3: Cross multiply
    13,565.58x = 18,721.60 × 7,824.90
  4. Step 4: Simplify right side
    13,565.58x = 146,494,554.23
  5. Step 5: Solve for x
    x = 146,494,554.23/13,565.58
  6. Step 6: Final answer
    x = 10,798.99

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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.