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Finding the Fourth Proportional to 43,312, 64,968 and 10,480

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Solution

The fourth proportional to 43,312, 64,968 and 10,480 is: 15,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,312 : 64,968 = 10,480 : x
  2. Step 2: Convert to fraction form
    43,312/64,968 = 10,480/x
  3. Step 3: Cross multiply
    43,312x = 64,968 × 10,480
  4. Step 4: Simplify right side
    43,312x = 680,864,640
  5. Step 5: Solve for x
    x = 680,864,640/43,312
  6. Step 6: Final answer
    x = 15,720

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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.