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Finding the Fourth Proportional to 7,712.08, 10,643.01 and 4,354.92

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Solution

The fourth proportional to 7,712.08, 10,643.01 and 4,354.92 is: 6,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.08 : 10,643.01 = 4,354.92 : x
  2. Step 2: Convert to fraction form
    7,712.08/10,643.01 = 4,354.92/x
  3. Step 3: Cross multiply
    7,712.08x = 10,643.01 × 4,354.92
  4. Step 4: Simplify right side
    7,712.08x = 46,349,457.11
  5. Step 5: Solve for x
    x = 46,349,457.11/7,712.08
  6. Step 6: Final answer
    x = 6,009.98

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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.