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Finding the Fourth Proportional to 12,807, 17,673.66 and 7,219.32

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Solution

The fourth proportional to 12,807, 17,673.66 and 7,219.32 is: 9,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807 : 17,673.66 = 7,219.32 : x
  2. Step 2: Convert to fraction form
    12,807/17,673.66 = 7,219.32/x
  3. Step 3: Cross multiply
    12,807x = 17,673.66 × 7,219.32
  4. Step 4: Simplify right side
    12,807x = 127,591,807.11
  5. Step 5: Solve for x
    x = 127,591,807.11/12,807
  6. Step 6: Final answer
    x = 9,962.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.