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Finding the Fourth Proportional to 13,346, 18,417.48 and 7,458

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Solution

The fourth proportional to 13,346, 18,417.48 and 7,458 is: 10,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,346 : 18,417.48 = 7,458 : x
  2. Step 2: Convert to fraction form
    13,346/18,417.48 = 7,458/x
  3. Step 3: Cross multiply
    13,346x = 18,417.48 × 7,458
  4. Step 4: Simplify right side
    13,346x = 137,357,565.84
  5. Step 5: Solve for x
    x = 137,357,565.84/13,346
  6. Step 6: Final answer
    x = 10,292.04

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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.