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Finding the Fourth Proportional to 14,157.95, 19,538.48 and 7,785.03

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Solution

The fourth proportional to 14,157.95, 19,538.48 and 7,785.03 is: 10,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.95 : 19,538.48 = 7,785.03 : x
  2. Step 2: Convert to fraction form
    14,157.95/19,538.48 = 7,785.03/x
  3. Step 3: Cross multiply
    14,157.95x = 19,538.48 × 7,785.03
  4. Step 4: Simplify right side
    14,157.95x = 152,107,603.01
  5. Step 5: Solve for x
    x = 152,107,603.01/14,157.95
  6. Step 6: Final answer
    x = 10,743.62

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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.