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Finding the Fourth Proportional to 15,453, 21,328.02 and 9,165.24

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Solution

The fourth proportional to 15,453, 21,328.02 and 9,165.24 is: 12,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,453 : 21,328.02 = 9,165.24 : x
  2. Step 2: Convert to fraction form
    15,453/21,328.02 = 9,165.24/x
  3. Step 3: Cross multiply
    15,453x = 21,328.02 × 9,165.24
  4. Step 4: Simplify right side
    15,453x = 195,476,422.02
  5. Step 5: Solve for x
    x = 195,476,422.02/15,453
  6. Step 6: Final answer
    x = 12,649.74

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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.