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Finding the Fourth Proportional to 9,345, 12,896.10 and 5,153.28

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Solution

The fourth proportional to 9,345, 12,896.10 and 5,153.28 is: 7,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345 : 12,896.10 = 5,153.28 : x
  2. Step 2: Convert to fraction form
    9,345/12,896.10 = 5,153.28/x
  3. Step 3: Cross multiply
    9,345x = 12,896.10 × 5,153.28
  4. Step 4: Simplify right side
    9,345x = 66,457,214.21
  5. Step 5: Solve for x
    x = 66,457,214.21/9,345
  6. Step 6: Final answer
    x = 7,111.53

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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.