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Finding the Fourth Proportional to 14,811.52, 20,430.96 and 9,775.76

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Solution

The fourth proportional to 14,811.52, 20,430.96 and 9,775.76 is: 13,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.52 : 20,430.96 = 9,775.76 : x
  2. Step 2: Convert to fraction form
    14,811.52/20,430.96 = 9,775.76/x
  3. Step 3: Cross multiply
    14,811.52x = 20,430.96 × 9,775.76
  4. Step 4: Simplify right side
    14,811.52x = 199,728,161.53
  5. Step 5: Solve for x
    x = 199,728,161.53/14,811.52
  6. Step 6: Final answer
    x = 13,484.65

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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.