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Finding the Fourth Proportional to 10,185.84, 15,278.94 and 9,030.06

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Solution

The fourth proportional to 10,185.84, 15,278.94 and 9,030.06 is: 13,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.84 : 15,278.94 = 9,030.06 : x
  2. Step 2: Convert to fraction form
    10,185.84/15,278.94 = 9,030.06/x
  3. Step 3: Cross multiply
    10,185.84x = 15,278.94 × 9,030.06
  4. Step 4: Simplify right side
    10,185.84x = 137,969,744.94
  5. Step 5: Solve for x
    x = 137,969,744.94/10,185.84
  6. Step 6: Final answer
    x = 13,545.25

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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.