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Finding the Fourth Proportional to 14,909.78, 20,569.60 and 9,607.69

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Solution

The fourth proportional to 14,909.78, 20,569.60 and 9,607.69 is: 13,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.78 : 20,569.60 = 9,607.69 : x
  2. Step 2: Convert to fraction form
    14,909.78/20,569.60 = 9,607.69/x
  3. Step 3: Cross multiply
    14,909.78x = 20,569.60 × 9,607.69
  4. Step 4: Simplify right side
    14,909.78x = 197,626,264.78
  5. Step 5: Solve for x
    x = 197,626,264.78/14,909.78
  6. Step 6: Final answer
    x = 13,254.81

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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.