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Finding the Fourth Proportional to 10,056, 13,877.52 and 5,580.48

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Solution

The fourth proportional to 10,056, 13,877.52 and 5,580.48 is: 7,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056 : 13,877.52 = 5,580.48 : x
  2. Step 2: Convert to fraction form
    10,056/13,877.52 = 5,580.48/x
  3. Step 3: Cross multiply
    10,056x = 13,877.52 × 5,580.48
  4. Step 4: Simplify right side
    10,056x = 77,443,222.81
  5. Step 5: Solve for x
    x = 77,443,222.81/10,056
  6. Step 6: Final answer
    x = 7,701.20

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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.