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Finding the Fourth Proportional to 7,880.48, 10,875.12 and 6,114.48

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Solution

The fourth proportional to 7,880.48, 10,875.12 and 6,114.48 is: 8,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.48 : 10,875.12 = 6,114.48 : x
  2. Step 2: Convert to fraction form
    7,880.48/10,875.12 = 6,114.48/x
  3. Step 3: Cross multiply
    7,880.48x = 10,875.12 × 6,114.48
  4. Step 4: Simplify right side
    7,880.48x = 66,495,703.74
  5. Step 5: Solve for x
    x = 66,495,703.74/7,880.48
  6. Step 6: Final answer
    x = 8,438.03

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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.