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Finding the Fourth Proportional to 35,506, 49,001.52 and 20,403.28

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Solution

The fourth proportional to 35,506, 49,001.52 and 20,403.28 is: 28,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506 : 49,001.52 = 20,403.28 : x
  2. Step 2: Convert to fraction form
    35,506/49,001.52 = 20,403.28/x
  3. Step 3: Cross multiply
    35,506x = 49,001.52 × 20,403.28
  4. Step 4: Simplify right side
    35,506x = 999,791,732.99
  5. Step 5: Solve for x
    x = 999,791,732.99/35,506
  6. Step 6: Final answer
    x = 28,158.39

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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.