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Finding the Fourth Proportional to 10,281.60, 15,415.20 and 4,039.20

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Solution

The fourth proportional to 10,281.60, 15,415.20 and 4,039.20 is: 6,055.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.60 : 15,415.20 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    10,281.60/15,415.20 = 4,039.20/x
  3. Step 3: Cross multiply
    10,281.60x = 15,415.20 × 4,039.20
  4. Step 4: Simplify right side
    10,281.60x = 62,265,075.84
  5. Step 5: Solve for x
    x = 62,265,075.84/10,281.60
  6. Step 6: Final answer
    x = 6,055.97

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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.