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Finding the Fourth Proportional to 10,500.60, 15,758.10 and 4,661.40

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Solution

The fourth proportional to 10,500.60, 15,758.10 and 4,661.40 is: 6,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.60 : 15,758.10 = 4,661.40 : x
  2. Step 2: Convert to fraction form
    10,500.60/15,758.10 = 4,661.40/x
  3. Step 3: Cross multiply
    10,500.60x = 15,758.10 × 4,661.40
  4. Step 4: Simplify right side
    10,500.60x = 73,454,807.34
  5. Step 5: Solve for x
    x = 73,454,807.34/10,500.60
  6. Step 6: Final answer
    x = 6,995.30

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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.