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Finding the Fourth Proportional to 12,681.40, 19,019.40 and 5,661.40

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Solution

The fourth proportional to 12,681.40, 19,019.40 and 5,661.40 is: 8,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.40 : 19,019.40 = 5,661.40 : x
  2. Step 2: Convert to fraction form
    12,681.40/19,019.40 = 5,661.40/x
  3. Step 3: Cross multiply
    12,681.40x = 19,019.40 × 5,661.40
  4. Step 4: Simplify right side
    12,681.40x = 107,676,431.16
  5. Step 5: Solve for x
    x = 107,676,431.16/12,681.40
  6. Step 6: Final answer
    x = 8,490.89

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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.