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Finding the Fourth Proportional to 64,880, 97,320 and 15,632

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Solution

The fourth proportional to 64,880, 97,320 and 15,632 is: 23,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,880 : 97,320 = 15,632 : x
  2. Step 2: Convert to fraction form
    64,880/97,320 = 15,632/x
  3. Step 3: Cross multiply
    64,880x = 97,320 × 15,632
  4. Step 4: Simplify right side
    64,880x = 1,521,306,240
  5. Step 5: Solve for x
    x = 1,521,306,240/64,880
  6. Step 6: Final answer
    x = 23,448

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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.