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Finding the Fourth Proportional to 10,398.48, 14,349.91 and 5,682.76

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Solution

The fourth proportional to 10,398.48, 14,349.91 and 5,682.76 is: 7,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.48 : 14,349.91 = 5,682.76 : x
  2. Step 2: Convert to fraction form
    10,398.48/14,349.91 = 5,682.76/x
  3. Step 3: Cross multiply
    10,398.48x = 14,349.91 × 5,682.76
  4. Step 4: Simplify right side
    10,398.48x = 81,547,055.13
  5. Step 5: Solve for x
    x = 81,547,055.13/10,398.48
  6. Step 6: Final answer
    x = 7,842.21

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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.