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Finding the Fourth Proportional to 18,577.84, 27,870.84 and 9,810.70

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Solution

The fourth proportional to 18,577.84, 27,870.84 and 9,810.70 is: 14,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.84 : 27,870.84 = 9,810.70 : x
  2. Step 2: Convert to fraction form
    18,577.84/27,870.84 = 9,810.70/x
  3. Step 3: Cross multiply
    18,577.84x = 27,870.84 × 9,810.70
  4. Step 4: Simplify right side
    18,577.84x = 273,432,449.99
  5. Step 5: Solve for x
    x = 273,432,449.99/18,577.84
  6. Step 6: Final answer
    x = 14,718.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.