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Finding the Fourth Proportional to 7,807.84, 10,756.74 and 5,445.88

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Solution

The fourth proportional to 7,807.84, 10,756.74 and 5,445.88 is: 7,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.84 : 10,756.74 = 5,445.88 : x
  2. Step 2: Convert to fraction form
    7,807.84/10,756.74 = 5,445.88/x
  3. Step 3: Cross multiply
    7,807.84x = 10,756.74 × 5,445.88
  4. Step 4: Simplify right side
    7,807.84x = 58,579,915.23
  5. Step 5: Solve for x
    x = 58,579,915.23/7,807.84
  6. Step 6: Final answer
    x = 7,502.70

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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.