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Finding the Fourth Proportional to 10,610.52, 14,643.90 and 6,419.16

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Solution

The fourth proportional to 10,610.52, 14,643.90 and 6,419.16 is: 8,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.52 : 14,643.90 = 6,419.16 : x
  2. Step 2: Convert to fraction form
    10,610.52/14,643.90 = 6,419.16/x
  3. Step 3: Cross multiply
    10,610.52x = 14,643.90 × 6,419.16
  4. Step 4: Simplify right side
    10,610.52x = 94,001,537.12
  5. Step 5: Solve for x
    x = 94,001,537.12/10,610.52
  6. Step 6: Final answer
    x = 8,859.28

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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.