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Finding the Fourth Proportional to 11,385.40, 15,718.04 and 7,867.52

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Solution

The fourth proportional to 11,385.40, 15,718.04 and 7,867.52 is: 10,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.40 : 15,718.04 = 7,867.52 : x
  2. Step 2: Convert to fraction form
    11,385.40/15,718.04 = 7,867.52/x
  3. Step 3: Cross multiply
    11,385.40x = 15,718.04 × 7,867.52
  4. Step 4: Simplify right side
    11,385.40x = 123,661,994.06
  5. Step 5: Solve for x
    x = 123,661,994.06/11,385.40
  6. Step 6: Final answer
    x = 10,861.45

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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.