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Finding the Fourth Proportional to 13,205.80, 19,808.70 and 5,802.40

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Solution

The fourth proportional to 13,205.80, 19,808.70 and 5,802.40 is: 8,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.80 : 19,808.70 = 5,802.40 : x
  2. Step 2: Convert to fraction form
    13,205.80/19,808.70 = 5,802.40/x
  3. Step 3: Cross multiply
    13,205.80x = 19,808.70 × 5,802.40
  4. Step 4: Simplify right side
    13,205.80x = 114,938,000.88
  5. Step 5: Solve for x
    x = 114,938,000.88/13,205.80
  6. Step 6: Final answer
    x = 8,703.60

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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.