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Finding the Fourth Proportional to 10,578.40, 15,947.08 and 9,864.99

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Solution

The fourth proportional to 10,578.40, 15,947.08 and 9,864.99 is: 14,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.40 : 15,947.08 = 9,864.99 : x
  2. Step 2: Convert to fraction form
    10,578.40/15,947.08 = 9,864.99/x
  3. Step 3: Cross multiply
    10,578.40x = 15,947.08 × 9,864.99
  4. Step 4: Simplify right side
    10,578.40x = 157,317,760.07
  5. Step 5: Solve for x
    x = 157,317,760.07/10,578.40
  6. Step 6: Final answer
    x = 14,871.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.