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Finding the Fourth Proportional to 40,700.16, 61,052.64 and 12,996

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Solution

The fourth proportional to 40,700.16, 61,052.64 and 12,996 is: 19,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,700.16 : 61,052.64 = 12,996 : x
  2. Step 2: Convert to fraction form
    40,700.16/61,052.64 = 12,996/x
  3. Step 3: Cross multiply
    40,700.16x = 61,052.64 × 12,996
  4. Step 4: Simplify right side
    40,700.16x = 793,440,109.44
  5. Step 5: Solve for x
    x = 793,440,109.44/40,700.16
  6. Step 6: Final answer
    x = 19,494.77

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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.