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Finding the Fourth Proportional to 11,417.95, 15,746.57 and 7,169.41

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Solution

The fourth proportional to 11,417.95, 15,746.57 and 7,169.41 is: 9,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.95 : 15,746.57 = 7,169.41 : x
  2. Step 2: Convert to fraction form
    11,417.95/15,746.57 = 7,169.41/x
  3. Step 3: Cross multiply
    11,417.95x = 15,746.57 × 7,169.41
  4. Step 4: Simplify right side
    11,417.95x = 112,893,627.15
  5. Step 5: Solve for x
    x = 112,893,627.15/11,417.95
  6. Step 6: Final answer
    x = 9,887.38

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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.