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Finding the Fourth Proportional to 10,615.52, 14,650.80 and 6,423.84

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Solution

The fourth proportional to 10,615.52, 14,650.80 and 6,423.84 is: 8,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.52 : 14,650.80 = 6,423.84 : x
  2. Step 2: Convert to fraction form
    10,615.52/14,650.80 = 6,423.84/x
  3. Step 3: Cross multiply
    10,615.52x = 14,650.80 × 6,423.84
  4. Step 4: Simplify right side
    10,615.52x = 94,114,395.07
  5. Step 5: Solve for x
    x = 94,114,395.07/10,615.52
  6. Step 6: Final answer
    x = 8,865.74

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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.