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Finding the Fourth Proportional to 10,358, 14,294.64 and 7,801.18

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Solution

The fourth proportional to 10,358, 14,294.64 and 7,801.18 is: 10,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358 : 14,294.64 = 7,801.18 : x
  2. Step 2: Convert to fraction form
    10,358/14,294.64 = 7,801.18/x
  3. Step 3: Cross multiply
    10,358x = 14,294.64 × 7,801.18
  4. Step 4: Simplify right side
    10,358x = 111,515,059.68
  5. Step 5: Solve for x
    x = 111,515,059.68/10,358
  6. Step 6: Final answer
    x = 10,766.08

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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.