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Finding the Fourth Proportional to 15,785.64, 23,669.76 and 6,423.24

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Solution

The fourth proportional to 15,785.64, 23,669.76 and 6,423.24 is: 9,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.64 : 23,669.76 = 6,423.24 : x
  2. Step 2: Convert to fraction form
    15,785.64/23,669.76 = 6,423.24/x
  3. Step 3: Cross multiply
    15,785.64x = 23,669.76 × 6,423.24
  4. Step 4: Simplify right side
    15,785.64x = 152,036,549.22
  5. Step 5: Solve for x
    x = 152,036,549.22/15,785.64
  6. Step 6: Final answer
    x = 9,631.32

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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.