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Finding the Fourth Proportional to 30,798.40, 46,193.28 and 10,019.20

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Solution

The fourth proportional to 30,798.40, 46,193.28 and 10,019.20 is: 15,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,798.40 : 46,193.28 = 10,019.20 : x
  2. Step 2: Convert to fraction form
    30,798.40/46,193.28 = 10,019.20/x
  3. Step 3: Cross multiply
    30,798.40x = 46,193.28 × 10,019.20
  4. Step 4: Simplify right side
    30,798.40x = 462,819,710.98
  5. Step 5: Solve for x
    x = 462,819,710.98/30,798.40
  6. Step 6: Final answer
    x = 15,027.39

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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.