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Finding the Fourth Proportional to 1,663.84, 2,497.62 and 971.32

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Solution

The fourth proportional to 1,663.84, 2,497.62 and 971.32 is: 1,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.84 : 2,497.62 = 971.32 : x
  2. Step 2: Convert to fraction form
    1,663.84/2,497.62 = 971.32/x
  3. Step 3: Cross multiply
    1,663.84x = 2,497.62 × 971.32
  4. Step 4: Simplify right side
    1,663.84x = 2,425,988.26
  5. Step 5: Solve for x
    x = 2,425,988.26/1,663.84
  6. Step 6: Final answer
    x = 1,458.07

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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.