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Finding the Fourth Proportional to 9,136.64, 13,709.13 and 4,970.40

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Solution

The fourth proportional to 9,136.64, 13,709.13 and 4,970.40 is: 7,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.64 : 13,709.13 = 4,970.40 : x
  2. Step 2: Convert to fraction form
    9,136.64/13,709.13 = 4,970.40/x
  3. Step 3: Cross multiply
    9,136.64x = 13,709.13 × 4,970.40
  4. Step 4: Simplify right side
    9,136.64x = 68,139,859.75
  5. Step 5: Solve for x
    x = 68,139,859.75/9,136.64
  6. Step 6: Final answer
    x = 7,457.87

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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.