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Finding the Fourth Proportional to 10,487.88, 15,739.56 and 7,347.24

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Solution

The fourth proportional to 10,487.88, 15,739.56 and 7,347.24 is: 11,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.88 : 15,739.56 = 7,347.24 : x
  2. Step 2: Convert to fraction form
    10,487.88/15,739.56 = 7,347.24/x
  3. Step 3: Cross multiply
    10,487.88x = 15,739.56 × 7,347.24
  4. Step 4: Simplify right side
    10,487.88x = 115,642,324.81
  5. Step 5: Solve for x
    x = 115,642,324.81/10,487.88
  6. Step 6: Final answer
    x = 11,026.28

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1.5x scale

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.