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Finding the Fourth Proportional to 9,792, 14,693.76 and 4,320

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Solution

The fourth proportional to 9,792, 14,693.76 and 4,320 is: 6,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 14,693.76 = 4,320 : x
  2. Step 2: Convert to fraction form
    9,792/14,693.76 = 4,320/x
  3. Step 3: Cross multiply
    9,792x = 14,693.76 × 4,320
  4. Step 4: Simplify right side
    9,792x = 63,477,043.20
  5. Step 5: Solve for x
    x = 63,477,043.20/9,792
  6. Step 6: Final answer
    x = 6,482.54

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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.