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Finding the Fourth Proportional to 19,570.41, 29,354.40 and 6,431.40

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Solution

The fourth proportional to 19,570.41, 29,354.40 and 6,431.40 is: 9,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.41 : 29,354.40 = 6,431.40 : x
  2. Step 2: Convert to fraction form
    19,570.41/29,354.40 = 6,431.40/x
  3. Step 3: Cross multiply
    19,570.41x = 29,354.40 × 6,431.40
  4. Step 4: Simplify right side
    19,570.41x = 188,789,888.16
  5. Step 5: Solve for x
    x = 188,789,888.16/19,570.41
  6. Step 6: Final answer
    x = 9,646.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.