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Finding the Fourth Proportional to 12,347.53, 17,035.28 and 8,569.69

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Solution

The fourth proportional to 12,347.53, 17,035.28 and 8,569.69 is: 11,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.53 : 17,035.28 = 8,569.69 : x
  2. Step 2: Convert to fraction form
    12,347.53/17,035.28 = 8,569.69/x
  3. Step 3: Cross multiply
    12,347.53x = 17,035.28 × 8,569.69
  4. Step 4: Simplify right side
    12,347.53x = 145,987,015.36
  5. Step 5: Solve for x
    x = 145,987,015.36/12,347.53
  6. Step 6: Final answer
    x = 11,823.18

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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.