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Finding the Fourth Proportional to 11,283, 15,570.54 and 6,315

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Solution

The fourth proportional to 11,283, 15,570.54 and 6,315 is: 8,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283 : 15,570.54 = 6,315 : x
  2. Step 2: Convert to fraction form
    11,283/15,570.54 = 6,315/x
  3. Step 3: Cross multiply
    11,283x = 15,570.54 × 6,315
  4. Step 4: Simplify right side
    11,283x = 98,327,960.10
  5. Step 5: Solve for x
    x = 98,327,960.10/11,283
  6. Step 6: Final answer
    x = 8,714.70

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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.