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Finding the Fourth Proportional to 10,970.37, 15,136.88 and 6,491.88

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Solution

The fourth proportional to 10,970.37, 15,136.88 and 6,491.88 is: 8,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.37 : 15,136.88 = 6,491.88 : x
  2. Step 2: Convert to fraction form
    10,970.37/15,136.88 = 6,491.88/x
  3. Step 3: Cross multiply
    10,970.37x = 15,136.88 × 6,491.88
  4. Step 4: Simplify right side
    10,970.37x = 98,266,776.08
  5. Step 5: Solve for x
    x = 98,266,776.08/10,970.37
  6. Step 6: Final answer
    x = 8,957.47

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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.