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Finding the Fourth Proportional to 10,502.64, 15,751.80 and 4,953.60

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Solution

The fourth proportional to 10,502.64, 15,751.80 and 4,953.60 is: 7,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.64 : 15,751.80 = 4,953.60 : x
  2. Step 2: Convert to fraction form
    10,502.64/15,751.80 = 4,953.60/x
  3. Step 3: Cross multiply
    10,502.64x = 15,751.80 × 4,953.60
  4. Step 4: Simplify right side
    10,502.64x = 78,028,116.48
  5. Step 5: Solve for x
    x = 78,028,116.48/10,502.64
  6. Step 6: Final answer
    x = 7,429.38

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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.