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Finding the Fourth Proportional to 10,159.16, 15,215.05 and 9,878.84

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Solution

The fourth proportional to 10,159.16, 15,215.05 and 9,878.84 is: 14,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.16 : 15,215.05 = 9,878.84 : x
  2. Step 2: Convert to fraction form
    10,159.16/15,215.05 = 9,878.84/x
  3. Step 3: Cross multiply
    10,159.16x = 15,215.05 × 9,878.84
  4. Step 4: Simplify right side
    10,159.16x = 150,306,919.07
  5. Step 5: Solve for x
    x = 150,306,919.07/10,159.16
  6. Step 6: Final answer
    x = 14,795.21

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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.