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Finding the Fourth Proportional to 12,792.50, 17,653.65 and 7,487.06

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Solution

The fourth proportional to 12,792.50, 17,653.65 and 7,487.06 is: 10,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.50 : 17,653.65 = 7,487.06 : x
  2. Step 2: Convert to fraction form
    12,792.50/17,653.65 = 7,487.06/x
  3. Step 3: Cross multiply
    12,792.50x = 17,653.65 × 7,487.06
  4. Step 4: Simplify right side
    12,792.50x = 132,173,936.77
  5. Step 5: Solve for x
    x = 132,173,936.77/12,792.50
  6. Step 6: Final answer
    x = 10,332.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.