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Finding the Fourth Proportional to 13,547.76, 18,692.88 and 7,880.64

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Solution

The fourth proportional to 13,547.76, 18,692.88 and 7,880.64 is: 10,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.76 : 18,692.88 = 7,880.64 : x
  2. Step 2: Convert to fraction form
    13,547.76/18,692.88 = 7,880.64/x
  3. Step 3: Cross multiply
    13,547.76x = 18,692.88 × 7,880.64
  4. Step 4: Simplify right side
    13,547.76x = 147,311,857.84
  5. Step 5: Solve for x
    x = 147,311,857.84/13,547.76
  6. Step 6: Final answer
    x = 10,873.52

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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.