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Finding the Fourth Proportional to 10,210.86, 14,085.90 and 6,849.36

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Solution

The fourth proportional to 10,210.86, 14,085.90 and 6,849.36 is: 9,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.86 : 14,085.90 = 6,849.36 : x
  2. Step 2: Convert to fraction form
    10,210.86/14,085.90 = 6,849.36/x
  3. Step 3: Cross multiply
    10,210.86x = 14,085.90 × 6,849.36
  4. Step 4: Simplify right side
    10,210.86x = 96,479,400.02
  5. Step 5: Solve for x
    x = 96,479,400.02/10,210.86
  6. Step 6: Final answer
    x = 9,448.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.