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Finding the Fourth Proportional to 7,886.17, 10,882.90 and 4,349.40

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Solution

The fourth proportional to 7,886.17, 10,882.90 and 4,349.40 is: 6,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.17 : 10,882.90 = 4,349.40 : x
  2. Step 2: Convert to fraction form
    7,886.17/10,882.90 = 4,349.40/x
  3. Step 3: Cross multiply
    7,886.17x = 10,882.90 × 4,349.40
  4. Step 4: Simplify right side
    7,886.17x = 47,334,085.26
  5. Step 5: Solve for x
    x = 47,334,085.26/7,886.17
  6. Step 6: Final answer
    x = 6,002.16

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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.