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Finding the Fourth Proportional to 25,442.76, 35,111 and 15,506.76

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Solution

The fourth proportional to 25,442.76, 35,111 and 15,506.76 is: 21,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442.76 : 35,111 = 15,506.76 : x
  2. Step 2: Convert to fraction form
    25,442.76/35,111 = 15,506.76/x
  3. Step 3: Cross multiply
    25,442.76x = 35,111 × 15,506.76
  4. Step 4: Simplify right side
    25,442.76x = 544,457,850.36
  5. Step 5: Solve for x
    x = 544,457,850.36/25,442.76
  6. Step 6: Final answer
    x = 21,399.32

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1.5x scale

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.