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Finding the Fourth Proportional to 14,560, 21,840 and 4,707.52

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Solution

The fourth proportional to 14,560, 21,840 and 4,707.52 is: 7,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 21,840 = 4,707.52 : x
  2. Step 2: Convert to fraction form
    14,560/21,840 = 4,707.52/x
  3. Step 3: Cross multiply
    14,560x = 21,840 × 4,707.52
  4. Step 4: Simplify right side
    14,560x = 102,812,236.80
  5. Step 5: Solve for x
    x = 102,812,236.80/14,560
  6. Step 6: Final answer
    x = 7,061.28

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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.