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Finding the Fourth Proportional to 5,643.50, 8,465.10 and 1,483.40

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Solution

The fourth proportional to 5,643.50, 8,465.10 and 1,483.40 is: 2,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.50 : 8,465.10 = 1,483.40 : x
  2. Step 2: Convert to fraction form
    5,643.50/8,465.10 = 1,483.40/x
  3. Step 3: Cross multiply
    5,643.50x = 8,465.10 × 1,483.40
  4. Step 4: Simplify right side
    5,643.50x = 12,557,129.34
  5. Step 5: Solve for x
    x = 12,557,129.34/5,643.50
  6. Step 6: Final answer
    x = 2,225.06

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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.