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Finding the Fourth Proportional to 10,616.83, 14,655.20 and 7,971.87

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Solution

The fourth proportional to 10,616.83, 14,655.20 and 7,971.87 is: 11,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.83 : 14,655.20 = 7,971.87 : x
  2. Step 2: Convert to fraction form
    10,616.83/14,655.20 = 7,971.87/x
  3. Step 3: Cross multiply
    10,616.83x = 14,655.20 × 7,971.87
  4. Step 4: Simplify right side
    10,616.83x = 116,829,349.22
  5. Step 5: Solve for x
    x = 116,829,349.22/10,616.83
  6. Step 6: Final answer
    x = 11,004.17

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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.