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Finding the Fourth Proportional to 10,270.40, 15,427.20 and 9,903.20

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Solution

The fourth proportional to 10,270.40, 15,427.20 and 9,903.20 is: 14,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.40 : 15,427.20 = 9,903.20 : x
  2. Step 2: Convert to fraction form
    10,270.40/15,427.20 = 9,903.20/x
  3. Step 3: Cross multiply
    10,270.40x = 15,427.20 × 9,903.20
  4. Step 4: Simplify right side
    10,270.40x = 152,778,647.04
  5. Step 5: Solve for x
    x = 152,778,647.04/10,270.40
  6. Step 6: Final answer
    x = 14,875.63

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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.