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Finding the Fourth Proportional to 10,783.13, 14,880.71 and 6,591.38

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Solution

The fourth proportional to 10,783.13, 14,880.71 and 6,591.38 is: 9,096.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.13 : 14,880.71 = 6,591.38 : x
  2. Step 2: Convert to fraction form
    10,783.13/14,880.71 = 6,591.38/x
  3. Step 3: Cross multiply
    10,783.13x = 14,880.71 × 6,591.38
  4. Step 4: Simplify right side
    10,783.13x = 98,084,356.35
  5. Step 5: Solve for x
    x = 98,084,356.35/10,783.13
  6. Step 6: Final answer
    x = 9,096.10

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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.