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Finding the Fourth Proportional to 10,012.80, 13,802.93 and 7,881.50

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Solution

The fourth proportional to 10,012.80, 13,802.93 and 7,881.50 is: 10,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.80 : 13,802.93 = 7,881.50 : x
  2. Step 2: Convert to fraction form
    10,012.80/13,802.93 = 7,881.50/x
  3. Step 3: Cross multiply
    10,012.80x = 13,802.93 × 7,881.50
  4. Step 4: Simplify right side
    10,012.80x = 108,787,792.80
  5. Step 5: Solve for x
    x = 108,787,792.80/10,012.80
  6. Step 6: Final answer
    x = 10,864.87

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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.