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Finding the Fourth Proportional to 4,070, 5,614.72 and 2,390.86

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Solution

The fourth proportional to 4,070, 5,614.72 and 2,390.86 is: 3,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070 : 5,614.72 = 2,390.86 : x
  2. Step 2: Convert to fraction form
    4,070/5,614.72 = 2,390.86/x
  3. Step 3: Cross multiply
    4,070x = 5,614.72 × 2,390.86
  4. Step 4: Simplify right side
    4,070x = 13,424,009.46
  5. Step 5: Solve for x
    x = 13,424,009.46/4,070
  6. Step 6: Final answer
    x = 3,298.28

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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.