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Finding the Fourth Proportional to 10,529.71, 14,533.28 and 7,180.53

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Solution

The fourth proportional to 10,529.71, 14,533.28 and 7,180.53 is: 9,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529.71 : 14,533.28 = 7,180.53 : x
  2. Step 2: Convert to fraction form
    10,529.71/14,533.28 = 7,180.53/x
  3. Step 3: Cross multiply
    10,529.71x = 14,533.28 × 7,180.53
  4. Step 4: Simplify right side
    10,529.71x = 104,356,653.04
  5. Step 5: Solve for x
    x = 104,356,653.04/10,529.71
  6. Step 6: Final answer
    x = 9,910.69

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