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Finding the Fourth Proportional to 9,870.11, 13,623.18 and 8,274.23

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Solution

The fourth proportional to 9,870.11, 13,623.18 and 8,274.23 is: 11,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.11 : 13,623.18 = 8,274.23 : x
  2. Step 2: Convert to fraction form
    9,870.11/13,623.18 = 8,274.23/x
  3. Step 3: Cross multiply
    9,870.11x = 13,623.18 × 8,274.23
  4. Step 4: Simplify right side
    9,870.11x = 112,721,415.28
  5. Step 5: Solve for x
    x = 112,721,415.28/9,870.11
  6. Step 6: Final answer
    x = 11,420.48

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Find fourth proportional to 9,871.11, 13,624.56 and 8,275.23
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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.