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Finding the Fourth Proportional to 7,041.68, 9,719.40 and 4,387.50

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Solution

The fourth proportional to 7,041.68, 9,719.40 and 4,387.50 is: 6,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.68 : 9,719.40 = 4,387.50 : x
  2. Step 2: Convert to fraction form
    7,041.68/9,719.40 = 4,387.50/x
  3. Step 3: Cross multiply
    7,041.68x = 9,719.40 × 4,387.50
  4. Step 4: Simplify right side
    7,041.68x = 42,643,867.50
  5. Step 5: Solve for x
    x = 42,643,867.50/7,041.68
  6. Step 6: Final answer
    x = 6,055.92

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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.