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Finding the Fourth Proportional to 10,488, 14,473.08 and 5,772

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Solution

The fourth proportional to 10,488, 14,473.08 and 5,772 is: 7,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488 : 14,473.08 = 5,772 : x
  2. Step 2: Convert to fraction form
    10,488/14,473.08 = 5,772/x
  3. Step 3: Cross multiply
    10,488x = 14,473.08 × 5,772
  4. Step 4: Simplify right side
    10,488x = 83,538,617.76
  5. Step 5: Solve for x
    x = 83,538,617.76/10,488
  6. Step 6: Final answer
    x = 7,965.16

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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.