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Finding the Fourth Proportional to 35,873.32, 53,785.68 and 12,487

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Solution

The fourth proportional to 35,873.32, 53,785.68 and 12,487 is: 18,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,873.32 : 53,785.68 = 12,487 : x
  2. Step 2: Convert to fraction form
    35,873.32/53,785.68 = 12,487/x
  3. Step 3: Cross multiply
    35,873.32x = 53,785.68 × 12,487
  4. Step 4: Simplify right side
    35,873.32x = 671,621,786.16
  5. Step 5: Solve for x
    x = 671,621,786.16/35,873.32
  6. Step 6: Final answer
    x = 18,722.04

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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.