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Finding the Fourth Proportional to 19,752, 29,628 and 5,160

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Solution

The fourth proportional to 19,752, 29,628 and 5,160 is: 7,740

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752 : 29,628 = 5,160 : x
  2. Step 2: Convert to fraction form
    19,752/29,628 = 5,160/x
  3. Step 3: Cross multiply
    19,752x = 29,628 × 5,160
  4. Step 4: Simplify right side
    19,752x = 152,880,480
  5. Step 5: Solve for x
    x = 152,880,480/19,752
  6. Step 6: Final answer
    x = 7,740

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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.