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Finding the Fourth Proportional to 10,235.76, 15,354.60 and 7,929.84

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Solution

The fourth proportional to 10,235.76, 15,354.60 and 7,929.84 is: 11,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.76 : 15,354.60 = 7,929.84 : x
  2. Step 2: Convert to fraction form
    10,235.76/15,354.60 = 7,929.84/x
  3. Step 3: Cross multiply
    10,235.76x = 15,354.60 × 7,929.84
  4. Step 4: Simplify right side
    10,235.76x = 121,759,521.26
  5. Step 5: Solve for x
    x = 121,759,521.26/10,235.76
  6. Step 6: Final answer
    x = 11,895.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.