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Finding the Fourth Proportional to 35,653, 53,437.74 and 12,258.76

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Solution

The fourth proportional to 35,653, 53,437.74 and 12,258.76 is: 18,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653 : 53,437.74 = 12,258.76 : x
  2. Step 2: Convert to fraction form
    35,653/53,437.74 = 12,258.76/x
  3. Step 3: Cross multiply
    35,653x = 53,437.74 × 12,258.76
  4. Step 4: Simplify right side
    35,653x = 655,080,429.60
  5. Step 5: Solve for x
    x = 655,080,429.60/35,653
  6. Step 6: Final answer
    x = 18,373.78

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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.