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Finding the Fourth Proportional to 1,756.88, 2,424.51 and 971.00

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Solution

The fourth proportional to 1,756.88, 2,424.51 and 971.00 is: 1,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.88 : 2,424.51 = 971.00 : x
  2. Step 2: Convert to fraction form
    1,756.88/2,424.51 = 971.00/x
  3. Step 3: Cross multiply
    1,756.88x = 2,424.51 × 971.00
  4. Step 4: Simplify right side
    1,756.88x = 2,354,187.09
  5. Step 5: Solve for x
    x = 2,354,187.09/1,756.88
  6. Step 6: Final answer
    x = 1,339.99

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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.