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Finding the Fourth Proportional to 25,856, 35,681.28 and 14,080

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Solution

The fourth proportional to 25,856, 35,681.28 and 14,080 is: 19,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856 : 35,681.28 = 14,080 : x
  2. Step 2: Convert to fraction form
    25,856/35,681.28 = 14,080/x
  3. Step 3: Cross multiply
    25,856x = 35,681.28 × 14,080
  4. Step 4: Simplify right side
    25,856x = 502,392,422.40
  5. Step 5: Solve for x
    x = 502,392,422.40/25,856
  6. Step 6: Final answer
    x = 19,430.40

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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.