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Finding the Fourth Proportional to 10,405.63, 14,359.71 and 5,929.35

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Solution

The fourth proportional to 10,405.63, 14,359.71 and 5,929.35 is: 8,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.63 : 14,359.71 = 5,929.35 : x
  2. Step 2: Convert to fraction form
    10,405.63/14,359.71 = 5,929.35/x
  3. Step 3: Cross multiply
    10,405.63x = 14,359.71 × 5,929.35
  4. Step 4: Simplify right side
    10,405.63x = 85,143,746.49
  5. Step 5: Solve for x
    x = 85,143,746.49/10,405.63
  6. Step 6: Final answer
    x = 8,182.47

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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.