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Finding the Fourth Proportional to 10,011.80, 13,801.55 and 7,880.50

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Solution

The fourth proportional to 10,011.80, 13,801.55 and 7,880.50 is: 10,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.80 : 13,801.55 = 7,880.50 : x
  2. Step 2: Convert to fraction form
    10,011.80/13,801.55 = 7,880.50/x
  3. Step 3: Cross multiply
    10,011.80x = 13,801.55 × 7,880.50
  4. Step 4: Simplify right side
    10,011.80x = 108,763,176.81
  5. Step 5: Solve for x
    x = 108,763,176.81/10,011.80
  6. Step 6: Final answer
    x = 10,863.49

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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.