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Finding the Fourth Proportional to 11,703.95, 16,151.50 and 6,398.76

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Solution

The fourth proportional to 11,703.95, 16,151.50 and 6,398.76 is: 8,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.95 : 16,151.50 = 6,398.76 : x
  2. Step 2: Convert to fraction form
    11,703.95/16,151.50 = 6,398.76/x
  3. Step 3: Cross multiply
    11,703.95x = 16,151.50 × 6,398.76
  4. Step 4: Simplify right side
    11,703.95x = 103,349,572.14
  5. Step 5: Solve for x
    x = 103,349,572.14/11,703.95
  6. Step 6: Final answer
    x = 8,830.32

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Double scale
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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.