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Finding the Fourth Proportional to 35,316, 52,974 and 13,103.64

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Solution

The fourth proportional to 35,316, 52,974 and 13,103.64 is: 19,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,316 : 52,974 = 13,103.64 : x
  2. Step 2: Convert to fraction form
    35,316/52,974 = 13,103.64/x
  3. Step 3: Cross multiply
    35,316x = 52,974 × 13,103.64
  4. Step 4: Simplify right side
    35,316x = 694,152,225.36
  5. Step 5: Solve for x
    x = 694,152,225.36/35,316
  6. Step 6: Final answer
    x = 19,655.46

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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.