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Finding the Fourth Proportional to 6,130.84, 9,196.80 and 1,971.22

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Solution

The fourth proportional to 6,130.84, 9,196.80 and 1,971.22 is: 2,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.84 : 9,196.80 = 1,971.22 : x
  2. Step 2: Convert to fraction form
    6,130.84/9,196.80 = 1,971.22/x
  3. Step 3: Cross multiply
    6,130.84x = 9,196.80 × 1,971.22
  4. Step 4: Simplify right side
    6,130.84x = 18,128,916.10
  5. Step 5: Solve for x
    x = 18,128,916.10/6,130.84
  6. Step 6: Final answer
    x = 2,957.00

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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.