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Finding the Fourth Proportional to 7,875.48, 10,864.08 and 6,385.08

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Solution

The fourth proportional to 7,875.48, 10,864.08 and 6,385.08 is: 8,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.48 : 10,864.08 = 6,385.08 : x
  2. Step 2: Convert to fraction form
    7,875.48/10,864.08 = 6,385.08/x
  3. Step 3: Cross multiply
    7,875.48x = 10,864.08 × 6,385.08
  4. Step 4: Simplify right side
    7,875.48x = 69,368,019.93
  5. Step 5: Solve for x
    x = 69,368,019.93/7,875.48
  6. Step 6: Final answer
    x = 8,808.10

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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.