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Finding the Fourth Proportional to 10,128.80, 15,196.80 and 4,931.20

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Solution

The fourth proportional to 10,128.80, 15,196.80 and 4,931.20 is: 7,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.80 : 15,196.80 = 4,931.20 : x
  2. Step 2: Convert to fraction form
    10,128.80/15,196.80 = 4,931.20/x
  3. Step 3: Cross multiply
    10,128.80x = 15,196.80 × 4,931.20
  4. Step 4: Simplify right side
    10,128.80x = 74,938,460.16
  5. Step 5: Solve for x
    x = 74,938,460.16/10,128.80
  6. Step 6: Final answer
    x = 7,398.55

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1.5x scale

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.