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Finding the Fourth Proportional to 11,853, 16,356.24 and 6,547.50

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Solution

The fourth proportional to 11,853, 16,356.24 and 6,547.50 is: 9,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853 : 16,356.24 = 6,547.50 : x
  2. Step 2: Convert to fraction form
    11,853/16,356.24 = 6,547.50/x
  3. Step 3: Cross multiply
    11,853x = 16,356.24 × 6,547.50
  4. Step 4: Simplify right side
    11,853x = 107,092,481.40
  5. Step 5: Solve for x
    x = 107,092,481.40/11,853
  6. Step 6: Final answer
    x = 9,035.05

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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.