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Finding the Fourth Proportional to 11,345.78, 15,655.74 and 7,156.46

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Solution

The fourth proportional to 11,345.78, 15,655.74 and 7,156.46 is: 9,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.78 : 15,655.74 = 7,156.46 : x
  2. Step 2: Convert to fraction form
    11,345.78/15,655.74 = 7,156.46/x
  3. Step 3: Cross multiply
    11,345.78x = 15,655.74 × 7,156.46
  4. Step 4: Simplify right side
    11,345.78x = 112,039,677.08
  5. Step 5: Solve for x
    x = 112,039,677.08/11,345.78
  6. Step 6: Final answer
    x = 9,875.01

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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.