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Finding the Fourth Proportional to 9,681.60, 14,503.20 and 5,774.40

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Solution

The fourth proportional to 9,681.60, 14,503.20 and 5,774.40 is: 8,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.60 : 14,503.20 = 5,774.40 : x
  2. Step 2: Convert to fraction form
    9,681.60/14,503.20 = 5,774.40/x
  3. Step 3: Cross multiply
    9,681.60x = 14,503.20 × 5,774.40
  4. Step 4: Simplify right side
    9,681.60x = 83,747,278.08
  5. Step 5: Solve for x
    x = 83,747,278.08/9,681.60
  6. Step 6: Final answer
    x = 8,650.15

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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.