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Finding the Fourth Proportional to 35,590.76, 49,117.14 and 20,485.72

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Solution

The fourth proportional to 35,590.76, 49,117.14 and 20,485.72 is: 28,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,590.76 : 49,117.14 = 20,485.72 : x
  2. Step 2: Convert to fraction form
    35,590.76/49,117.14 = 20,485.72/x
  3. Step 3: Cross multiply
    35,590.76x = 49,117.14 × 20,485.72
  4. Step 4: Simplify right side
    35,590.76x = 1,006,199,977.24
  5. Step 5: Solve for x
    x = 1,006,199,977.24/35,590.76
  6. Step 6: Final answer
    x = 28,271.38

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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.