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Finding the Fourth Proportional to 7,715.52, 10,648.80 and 6,056.64

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Solution

The fourth proportional to 7,715.52, 10,648.80 and 6,056.64 is: 8,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.52 : 10,648.80 = 6,056.64 : x
  2. Step 2: Convert to fraction form
    7,715.52/10,648.80 = 6,056.64/x
  3. Step 3: Cross multiply
    7,715.52x = 10,648.80 × 6,056.64
  4. Step 4: Simplify right side
    7,715.52x = 64,495,948.03
  5. Step 5: Solve for x
    x = 64,495,948.03/7,715.52
  6. Step 6: Final answer
    x = 8,359.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.