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Finding the Fourth Proportional to 5,605.40, 8,407.80 and 1,709.50

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Solution

The fourth proportional to 5,605.40, 8,407.80 and 1,709.50 is: 2,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.40 : 8,407.80 = 1,709.50 : x
  2. Step 2: Convert to fraction form
    5,605.40/8,407.80 = 1,709.50/x
  3. Step 3: Cross multiply
    5,605.40x = 8,407.80 × 1,709.50
  4. Step 4: Simplify right side
    5,605.40x = 14,373,125.55
  5. Step 5: Solve for x
    x = 14,373,125.55/5,605.40
  6. Step 6: Final answer
    x = 2,564.16

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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.