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Finding the Fourth Proportional to 10,717.16, 14,774.47 and 7,879.53

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Solution

The fourth proportional to 10,717.16, 14,774.47 and 7,879.53 is: 10,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.16 : 14,774.47 = 7,879.53 : x
  2. Step 2: Convert to fraction form
    10,717.16/14,774.47 = 7,879.53/x
  3. Step 3: Cross multiply
    10,717.16x = 14,774.47 × 7,879.53
  4. Step 4: Simplify right side
    10,717.16x = 116,415,859.90
  5. Step 5: Solve for x
    x = 116,415,859.90/10,717.16
  6. Step 6: Final answer
    x = 10,862.56

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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.