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Finding the Fourth Proportional to 7,583.60, 10,500.36 and 7,000.40

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Solution

The fourth proportional to 7,583.60, 10,500.36 and 7,000.40 is: 9,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.60 : 10,500.36 = 7,000.40 : x
  2. Step 2: Convert to fraction form
    7,583.60/10,500.36 = 7,000.40/x
  3. Step 3: Cross multiply
    7,583.60x = 10,500.36 × 7,000.40
  4. Step 4: Simplify right side
    7,583.60x = 73,506,720.14
  5. Step 5: Solve for x
    x = 73,506,720.14/7,583.60
  6. Step 6: Final answer
    x = 9,692.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.