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Finding the Fourth Proportional to 25,487, 35,172.96 and 14,156.68

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Solution

The fourth proportional to 25,487, 35,172.96 and 14,156.68 is: 19,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,487 : 35,172.96 = 14,156.68 : x
  2. Step 2: Convert to fraction form
    25,487/35,172.96 = 14,156.68/x
  3. Step 3: Cross multiply
    25,487x = 35,172.96 × 14,156.68
  4. Step 4: Simplify right side
    25,487x = 497,932,339.37
  5. Step 5: Solve for x
    x = 497,932,339.37/25,487
  6. Step 6: Final answer
    x = 19,536.72

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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.