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Finding the Fourth Proportional to 10,278.95, 15,345.41 and 9,914.45

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Solution

The fourth proportional to 10,278.95, 15,345.41 and 9,914.45 is: 14,801.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.95 : 15,345.41 = 9,914.45 : x
  2. Step 2: Convert to fraction form
    10,278.95/15,345.41 = 9,914.45/x
  3. Step 3: Cross multiply
    10,278.95x = 15,345.41 × 9,914.45
  4. Step 4: Simplify right side
    10,278.95x = 152,141,173.88
  5. Step 5: Solve for x
    x = 152,141,173.88/10,278.95
  6. Step 6: Final answer
    x = 14,801.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.