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Finding the Fourth Proportional to 10,119, 15,178.47 and 7,783.17

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Solution

The fourth proportional to 10,119, 15,178.47 and 7,783.17 is: 11,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119 : 15,178.47 = 7,783.17 : x
  2. Step 2: Convert to fraction form
    10,119/15,178.47 = 7,783.17/x
  3. Step 3: Cross multiply
    10,119x = 15,178.47 × 7,783.17
  4. Step 4: Simplify right side
    10,119x = 118,136,612.35
  5. Step 5: Solve for x
    x = 118,136,612.35/10,119
  6. Step 6: Final answer
    x = 11,674.73

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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.