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Finding the Fourth Proportional to 14,865.12, 20,509.47 and 8,491.50

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Solution

The fourth proportional to 14,865.12, 20,509.47 and 8,491.50 is: 11,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.12 : 20,509.47 = 8,491.50 : x
  2. Step 2: Convert to fraction form
    14,865.12/20,509.47 = 8,491.50/x
  3. Step 3: Cross multiply
    14,865.12x = 20,509.47 × 8,491.50
  4. Step 4: Simplify right side
    14,865.12x = 174,156,164.51
  5. Step 5: Solve for x
    x = 174,156,164.51/14,865.12
  6. Step 6: Final answer
    x = 11,715.76

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1.5x scale

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.