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Finding the Fourth Proportional to 10,574.99, 15,829.01 and 7,440.47

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Solution

The fourth proportional to 10,574.99, 15,829.01 and 7,440.47 is: 11,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.99 : 15,829.01 = 7,440.47 : x
  2. Step 2: Convert to fraction form
    10,574.99/15,829.01 = 7,440.47/x
  3. Step 3: Cross multiply
    10,574.99x = 15,829.01 × 7,440.47
  4. Step 4: Simplify right side
    10,574.99x = 117,775,304.31
  5. Step 5: Solve for x
    x = 117,775,304.31/10,574.99
  6. Step 6: Final answer
    x = 11,137.15

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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.