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Finding the Fourth Proportional to 10,806, 14,915.04 and 7,038.56

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Solution

The fourth proportional to 10,806, 14,915.04 and 7,038.56 is: 9,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806 : 14,915.04 = 7,038.56 : x
  2. Step 2: Convert to fraction form
    10,806/14,915.04 = 7,038.56/x
  3. Step 3: Cross multiply
    10,806x = 14,915.04 × 7,038.56
  4. Step 4: Simplify right side
    10,806x = 104,980,403.94
  5. Step 5: Solve for x
    x = 104,980,403.94/10,806
  6. Step 6: Final answer
    x = 9,715.01

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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.