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Finding the Fourth Proportional to 19,929.60, 29,894.30 and 9,509.76

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Solution

The fourth proportional to 19,929.60, 29,894.30 and 9,509.76 is: 14,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929.60 : 29,894.30 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    19,929.60/29,894.30 = 9,509.76/x
  3. Step 3: Cross multiply
    19,929.60x = 29,894.30 × 9,509.76
  4. Step 4: Simplify right side
    19,929.60x = 284,287,618.37
  5. Step 5: Solve for x
    x = 284,287,618.37/19,929.60
  6. Step 6: Final answer
    x = 14,264.59

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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.