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Finding the Fourth Proportional to 7,800.30, 11,700.45 and 2,870.10

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Solution

The fourth proportional to 7,800.30, 11,700.45 and 2,870.10 is: 4,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.30 : 11,700.45 = 2,870.10 : x
  2. Step 2: Convert to fraction form
    7,800.30/11,700.45 = 2,870.10/x
  3. Step 3: Cross multiply
    7,800.30x = 11,700.45 × 2,870.10
  4. Step 4: Simplify right side
    7,800.30x = 33,581,461.55
  5. Step 5: Solve for x
    x = 33,581,461.55/7,800.30
  6. Step 6: Final answer
    x = 4,305.15

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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.