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Finding the Fourth Proportional to 35,145.16, 48,495.54 and 20,995

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Solution

The fourth proportional to 35,145.16, 48,495.54 and 20,995 is: 28,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,145.16 : 48,495.54 = 20,995 : x
  2. Step 2: Convert to fraction form
    35,145.16/48,495.54 = 20,995/x
  3. Step 3: Cross multiply
    35,145.16x = 48,495.54 × 20,995
  4. Step 4: Simplify right side
    35,145.16x = 1,018,163,862.30
  5. Step 5: Solve for x
    x = 1,018,163,862.30/35,145.16
  6. Step 6: Final answer
    x = 28,970.24

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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.