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Finding the Fourth Proportional to 9,894.95, 13,655.25 and 5,418.89

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Solution

The fourth proportional to 9,894.95, 13,655.25 and 5,418.89 is: 7,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.95 : 13,655.25 = 5,418.89 : x
  2. Step 2: Convert to fraction form
    9,894.95/13,655.25 = 5,418.89/x
  3. Step 3: Cross multiply
    9,894.95x = 13,655.25 × 5,418.89
  4. Step 4: Simplify right side
    9,894.95x = 73,996,297.67
  5. Step 5: Solve for x
    x = 73,996,297.67/9,894.95
  6. Step 6: Final answer
    x = 7,478.19

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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.