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Finding the Fourth Proportional to 10,394.16, 14,343.86 and 5,678.45

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Solution

The fourth proportional to 10,394.16, 14,343.86 and 5,678.45 is: 7,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.16 : 14,343.86 = 5,678.45 : x
  2. Step 2: Convert to fraction form
    10,394.16/14,343.86 = 5,678.45/x
  3. Step 3: Cross multiply
    10,394.16x = 14,343.86 × 5,678.45
  4. Step 4: Simplify right side
    10,394.16x = 81,450,791.71
  5. Step 5: Solve for x
    x = 81,450,791.71/10,394.16
  6. Step 6: Final answer
    x = 7,836.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.