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Finding the Fourth Proportional to 10,506.63, 15,760.25 and 3,931.56

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Solution

The fourth proportional to 10,506.63, 15,760.25 and 3,931.56 is: 5,897.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.63 : 15,760.25 = 3,931.56 : x
  2. Step 2: Convert to fraction form
    10,506.63/15,760.25 = 3,931.56/x
  3. Step 3: Cross multiply
    10,506.63x = 15,760.25 × 3,931.56
  4. Step 4: Simplify right side
    10,506.63x = 61,962,368.49
  5. Step 5: Solve for x
    x = 61,962,368.49/10,506.63
  6. Step 6: Final answer
    x = 5,897.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.