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Finding the Fourth Proportional to 40,835, 61,252.50 and 13,133

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Solution

The fourth proportional to 40,835, 61,252.50 and 13,133 is: 19,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,835 : 61,252.50 = 13,133 : x
  2. Step 2: Convert to fraction form
    40,835/61,252.50 = 13,133/x
  3. Step 3: Cross multiply
    40,835x = 61,252.50 × 13,133
  4. Step 4: Simplify right side
    40,835x = 804,429,082.50
  5. Step 5: Solve for x
    x = 804,429,082.50/40,835
  6. Step 6: Final answer
    x = 19,699.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.