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Finding the Fourth Proportional to 7,070.40, 10,605.60 and 5,435.20

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Solution

The fourth proportional to 7,070.40, 10,605.60 and 5,435.20 is: 8,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.40 : 10,605.60 = 5,435.20 : x
  2. Step 2: Convert to fraction form
    7,070.40/10,605.60 = 5,435.20/x
  3. Step 3: Cross multiply
    7,070.40x = 10,605.60 × 5,435.20
  4. Step 4: Simplify right side
    7,070.40x = 57,643,557.12
  5. Step 5: Solve for x
    x = 57,643,557.12/7,070.40
  6. Step 6: Final answer
    x = 8,152.80

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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.