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Finding the Fourth Proportional to 9,686.61, 13,373.94 and 7,444.35

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Solution

The fourth proportional to 9,686.61, 13,373.94 and 7,444.35 is: 10,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.61 : 13,373.94 = 7,444.35 : x
  2. Step 2: Convert to fraction form
    9,686.61/13,373.94 = 7,444.35/x
  3. Step 3: Cross multiply
    9,686.61x = 13,373.94 × 7,444.35
  4. Step 4: Simplify right side
    9,686.61x = 99,560,290.24
  5. Step 5: Solve for x
    x = 99,560,290.24/9,686.61
  6. Step 6: Final answer
    x = 10,278.14

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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.