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Finding the Fourth Proportional to 10,509.99, 14,503.80 and 5,729.91

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Solution

The fourth proportional to 10,509.99, 14,503.80 and 5,729.91 is: 7,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.99 : 14,503.80 = 5,729.91 : x
  2. Step 2: Convert to fraction form
    10,509.99/14,503.80 = 5,729.91/x
  3. Step 3: Cross multiply
    10,509.99x = 14,503.80 × 5,729.91
  4. Step 4: Simplify right side
    10,509.99x = 83,105,468.66
  5. Step 5: Solve for x
    x = 83,105,468.66/10,509.99
  6. Step 6: Final answer
    x = 7,907.28

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1.5x scale

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.