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Finding the Fourth Proportional to 10,045.16, 15,066.90 and 3,119

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Solution

The fourth proportional to 10,045.16, 15,066.90 and 3,119 is: 4,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.16 : 15,066.90 = 3,119 : x
  2. Step 2: Convert to fraction form
    10,045.16/15,066.90 = 3,119/x
  3. Step 3: Cross multiply
    10,045.16x = 15,066.90 × 3,119
  4. Step 4: Simplify right side
    10,045.16x = 46,993,661.10
  5. Step 5: Solve for x
    x = 46,993,661.10/10,045.16
  6. Step 6: Final answer
    x = 4,678.24

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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.