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Finding the Fourth Proportional to 1,717.86, 2,370.64 and 971.87

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Solution

The fourth proportional to 1,717.86, 2,370.64 and 971.87 is: 1,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.86 : 2,370.64 = 971.87 : x
  2. Step 2: Convert to fraction form
    1,717.86/2,370.64 = 971.87/x
  3. Step 3: Cross multiply
    1,717.86x = 2,370.64 × 971.87
  4. Step 4: Simplify right side
    1,717.86x = 2,303,964.17
  5. Step 5: Solve for x
    x = 2,303,964.17/1,717.86
  6. Step 6: Final answer
    x = 1,341.18

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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.