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Finding the Fourth Proportional to 25,428, 35,090.88 and 14,250.24

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Solution

The fourth proportional to 25,428, 35,090.88 and 14,250.24 is: 19,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428 : 35,090.88 = 14,250.24 : x
  2. Step 2: Convert to fraction form
    25,428/35,090.88 = 14,250.24/x
  3. Step 3: Cross multiply
    25,428x = 35,090.88 × 14,250.24
  4. Step 4: Simplify right side
    25,428x = 500,053,461.81
  5. Step 5: Solve for x
    x = 500,053,461.81/25,428
  6. Step 6: Final answer
    x = 19,665.47

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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.