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Finding the Fourth Proportional to 2,495, 3,445.98 and 1,707.68

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Solution

The fourth proportional to 2,495, 3,445.98 and 1,707.68 is: 2,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495 : 3,445.98 = 1,707.68 : x
  2. Step 2: Convert to fraction form
    2,495/3,445.98 = 1,707.68/x
  3. Step 3: Cross multiply
    2,495x = 3,445.98 × 1,707.68
  4. Step 4: Simplify right side
    2,495x = 5,884,631.13
  5. Step 5: Solve for x
    x = 5,884,631.13/2,495
  6. Step 6: Final answer
    x = 2,358.57

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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.