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Finding the Fourth Proportional to 10,047.40, 15,068.40 and 4,202.80

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Solution

The fourth proportional to 10,047.40, 15,068.40 and 4,202.80 is: 6,303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.40 : 15,068.40 = 4,202.80 : x
  2. Step 2: Convert to fraction form
    10,047.40/15,068.40 = 4,202.80/x
  3. Step 3: Cross multiply
    10,047.40x = 15,068.40 × 4,202.80
  4. Step 4: Simplify right side
    10,047.40x = 63,329,471.52
  5. Step 5: Solve for x
    x = 63,329,471.52/10,047.40
  6. Step 6: Final answer
    x = 6,303.07

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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.