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Finding the Fourth Proportional to 11,569.47, 17,352.01 and 5,640.40

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Solution

The fourth proportional to 11,569.47, 17,352.01 and 5,640.40 is: 8,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.47 : 17,352.01 = 5,640.40 : x
  2. Step 2: Convert to fraction form
    11,569.47/17,352.01 = 5,640.40/x
  3. Step 3: Cross multiply
    11,569.47x = 17,352.01 × 5,640.40
  4. Step 4: Simplify right side
    11,569.47x = 97,872,305.94
  5. Step 5: Solve for x
    x = 97,872,305.94/11,569.47
  6. Step 6: Final answer
    x = 8,459.54

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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.