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Finding the Fourth Proportional to 10,605.25, 14,636.87 and 6,415.93

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Solution

The fourth proportional to 10,605.25, 14,636.87 and 6,415.93 is: 8,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.25 : 14,636.87 = 6,415.93 : x
  2. Step 2: Convert to fraction form
    10,605.25/14,636.87 = 6,415.93/x
  3. Step 3: Cross multiply
    10,605.25x = 14,636.87 × 6,415.93
  4. Step 4: Simplify right side
    10,605.25x = 93,909,133.34
  5. Step 5: Solve for x
    x = 93,909,133.34/10,605.25
  6. Step 6: Final answer
    x = 8,854.97

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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.