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Finding the Fourth Proportional to 15,883.94, 21,918.12 and 9,509.24

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Solution

The fourth proportional to 15,883.94, 21,918.12 and 9,509.24 is: 13,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.94 : 21,918.12 = 9,509.24 : x
  2. Step 2: Convert to fraction form
    15,883.94/21,918.12 = 9,509.24/x
  3. Step 3: Cross multiply
    15,883.94x = 21,918.12 × 9,509.24
  4. Step 4: Simplify right side
    15,883.94x = 208,424,663.43
  5. Step 5: Solve for x
    x = 208,424,663.43/15,883.94
  6. Step 6: Final answer
    x = 13,121.72

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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.