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Finding the Fourth Proportional to 11,215.63, 15,477.16 and 6,499

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Solution

The fourth proportional to 11,215.63, 15,477.16 and 6,499 is: 8,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.63 : 15,477.16 = 6,499 : x
  2. Step 2: Convert to fraction form
    11,215.63/15,477.16 = 6,499/x
  3. Step 3: Cross multiply
    11,215.63x = 15,477.16 × 6,499
  4. Step 4: Simplify right side
    11,215.63x = 100,586,062.84
  5. Step 5: Solve for x
    x = 100,586,062.84/11,215.63
  6. Step 6: Final answer
    x = 8,968.38

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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.