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Finding the Fourth Proportional to 7,527.10, 11,291.14 and 1,980.58

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Solution

The fourth proportional to 7,527.10, 11,291.14 and 1,980.58 is: 2,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.10 : 11,291.14 = 1,980.58 : x
  2. Step 2: Convert to fraction form
    7,527.10/11,291.14 = 1,980.58/x
  3. Step 3: Cross multiply
    7,527.10x = 11,291.14 × 1,980.58
  4. Step 4: Simplify right side
    7,527.10x = 22,363,006.06
  5. Step 5: Solve for x
    x = 22,363,006.06/7,527.10
  6. Step 6: Final answer
    x = 2,971.00

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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.