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Finding the Fourth Proportional to 4,693.39, 7,038.01 and 1,405.87

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Solution

The fourth proportional to 4,693.39, 7,038.01 and 1,405.87 is: 2,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.39 : 7,038.01 = 1,405.87 : x
  2. Step 2: Convert to fraction form
    4,693.39/7,038.01 = 1,405.87/x
  3. Step 3: Cross multiply
    4,693.39x = 7,038.01 × 1,405.87
  4. Step 4: Simplify right side
    4,693.39x = 9,894,527.12
  5. Step 5: Solve for x
    x = 9,894,527.12/4,693.39
  6. Step 6: Final answer
    x = 2,108.18

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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.